The generator matrix

 1  0  0  0  1  1  1 2a+2 2a  1  1  0  1  1  1  1  1 2a+2  1  1  1  1  1  1 2a+2 2a+2  2  1  1  1 2a  1  1  1
 0  1  0  0  1  2 2a+3  1  1 2a+2  1 2a  a 3a 3a a+1  a  1  1  0  0 a+3 2a+1 3a+2  0  1  1 a+3 2a 3a  1 3a+1 3a a+1
 0  0  1  0 3a+3 2a+3  a  a a+1 a+2  1  1  1 a+2  2 a+3 3a+1 3a 2a+3 2a+3 3a+2  3 a+1 2a+1  1 a+1 2a+3 3a+1  1 a+1  1  1 a+3  3
 0  0  0  1  1 3a+3 a+2  3 3a+2 2a+3 2a a+2 2a+1 a+1 3a+2 a+1 2a+3 a+2 a+1  2 a+3  a  2 3a+3 3a+3  3 3a  2  3 2a+3 2a+3 a+3 a+3 a+3
 0  0  0  0 2a+2  0 2a+2 2a+2 2a+2 2a+2  0  2 2a  0 2a 2a+2  0  0  2 2a  2  2  2 2a+2 2a+2  0 2a+2 2a  2 2a+2  2 2a 2a 2a+2

generates a code of length 34 over GR(16,4) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+108x^85+228x^86+288x^87+1227x^88+1428x^89+1332x^90+2280x^91+5115x^92+4764x^93+4212x^94+6696x^95+13491x^96+10440x^97+8160x^98+14016x^99+24249x^100+16260x^101+12876x^102+20832x^103+31740x^104+18084x^105+11412x^106+14616x^107+17700x^108+9108x^109+4284x^110+2712x^111+2613x^112+1248x^113+504x^114+60x^116+42x^120+9x^124+3x^128+3x^132+3x^136

The gray image is a code over GF(4) with n=136, k=9 and d=85.
This code was found by Heurico 1.16 in 113 seconds.