awk to combine all matching fields in input but only print line with largest value in specific field

In the below I am trying to use awk to match all the $13 values in input , which is tab-delimited ,
that are in $1 of gene which is just a single column of text.

However only the line with the greatest $9 value in input needs to be printed.
So in the example below all the MECP2 and LTBP1 lines in input are found, but since line 2 MECP2 and line 5 LTBP1 have the greatest $9 value they are printed.
The awk does run but the output is not desired and I'm not sure if this is the best way. Thank you :).

gene

MECP2
LTPB1
GJB2

input

219    NM_001110792    chrX    -    153295685    153363188    153295817    153363122    3    153295685,153297657,153363060,    153296901,153298008,153363188,    0    MECP2    cmpl    cmpl    2,2,0,
219    NM_004992    chrX    -    153287263    153363188    153295817    153357667    4    153287263,153297657,153357641,153363060,    153296901,153298008,153357765,153363188,    0    MECP2    cmpl    cmpl    2,2,0,-1,
1    NM_000627    chr2    +    33359663    33624575    33359804    33623612    30    33359663,33411922,33413643,33442618,33447146,33468728,33477743,33482350,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33567904,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33568030,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1    NM_001166264    chr2    +    33359663    33624575    33359804    33623612    29    33359663,33411922,33413643,33442618,33447146,33468728,33477743,33482350,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1    NM_206943    chr2    +    33172368    33624575    33172391    33623612    34    33172368,33173941,33245975,33335648,33359859,33411922,33413643,33442618,33447146,33468728,33477743,33482350,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33567904,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33172885,33174012,33246273,33335818,33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33568030,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,2,1,2,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1    NM_001166265    chr2    +    33359663    33624575    33359804    33623612    30    33359663,33411922,33413643,33442618,33447146,33468728,33477743,33482509,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33567904,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33568030,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,
1    NM_001166265    chr2    +    33359663    33624575    33359804    33623612    30    33359663,33411922,33413643,33442618,33447146,33468728,33477743,33482509,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33567904,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33568030,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

desired output line 2 and line 5

219    NM_004992    chrX    -    153287263    153363188    153295817    153357667    4    153287263,153297657,153357641,153363060,    153296901,153298008,153357765,153363188,    0    MECP2    cmpl    cmpl    2,2,0,-1,
1    NM_206943    chr2    +    33172368    33624575    33172391    33623612    34    33172368,33173941,33245975,33335648,33359859,33411922,33413643,33442618,33447146,33468728,33477743,33482350,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33567904,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33172885,33174012,33246273,33335818,33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33568030,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,2,1,2,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

awk

awk -F'\t' 'NR==FNR{A[$1];next}$13 in A && $9>a {a=$9; b=$0} END {print b}' gene input > out

current output skipping MECP2 line

1    NM_206943    chr2    +    33172368    33624575    33172391    33623612    34    33172368,33173941,33245975,33335648,33359859,33411922,33413643,33442618,33447146,33468728,33477743,33482350,33484654,33487788,33488360,33498722,33500031,33500867,33505105,33518226,33525517,33526588,33534500,33540210,33567904,33572433,33585663,33586495,33588456,33589282,33590399,33614250,33622199,33623430,    33172885,33174012,33246273,33335818,33360027,33412147,33413918,33442721,33447218,33468851,33477911,33482578,33484677,33487888,33488459,33498848,33500157,33500990,33505225,33518349,33525640,33526711,33534623,33540336,33568030,33572577,33585846,33586582,33588585,33589423,33590570,33614373,33622349,33624575,    0    LTBP1    cmpl    cmpl    0,2,1,2,1,1,1,0,1,1,1,1,1,0,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,1,

---------- Post updated at 01:40 PM ---------- Previous update was at 08:34 AM ----------

This seems to work:

awk '{if ($9>max[$13])   # combine all matching $13 and grad the max value of $9
         {max[$13]=$9; val[$13]=$0}# read them into variable
     } 
     END {for (i in val) print val}' input > out   # print variable with line

Thank you :).