The generator matrix

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

generates a code of length 32 over GR(16,4) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+276x^80+300x^81+564x^82+1164x^83+2427x^84+2304x^85+2808x^86+4320x^87+7866x^88+6492x^89+7392x^90+10056x^91+15852x^92+14256x^93+14928x^94+17952x^95+26229x^96+20916x^97+18324x^98+19068x^99+23109x^100+14352x^101+9816x^102+8160x^103+7878x^104+2820x^105+1464x^106+720x^107+249x^108+42x^112+24x^116+12x^120+3x^124

The gray image is a code over GF(4) with n=128, k=9 and d=80.
This code was found by Heurico 1.16 in 102 seconds.