The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  1  1  2  1  1  1  1  1  1  1  2  1  1  1  1  1  1  1  2  1  1  2  1  1  1  1  1  2  1  1  1  4  1  1  1  2  0  2  1  2  1  1  2  0  1  1  2  1  2  1  2  1  1  8  1  2  0  2  1  1  2  2  4  1  2  1
 0 12  0  4  0  0  4 12  0  8  4  4  0  4  4  8  0  8 12 12  4  4  8  0  4  8 12  0  8  4  8  4  0 12  8 12  8  8  4  0 12  0 12 12  0  8 12  4 12 12 12 12  8  4  0  4  4  8  0  0  0  8  0  4  4  4  0  4  4  4 12  4  4  4  4  4  8 12  4 12  8 12  4 12 12  0  4  8  0  8  4  4  0 12 12  4  8  8  0
 0  0 12  4  0 12  4  0  8  4  0  4  0 12  0  4  8  4  4  0  0  4  8 12 12 12  8  0  8 12 12  4 12  0  4  8  0  8  8 12 12  0 12  8  4 12  4  0 12  8  4  0 12  0 12 12  4  4  0  8 12 12  8  0 12  0 12  8  4  0  4  8 12  0  0  0  4  8  4  8 12  4  4  0 12  0 12 12  4  4  0 12 12  8  4 12 12  0  0
 0  0  0  8  0  0  0  0  8  8  8  0  8  8  0  0  8  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  8  8  0  0  0  8  0  0  8  8  0  0  8  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  8  8  0  8  0  8  8  0  0  8  8  8  0  0  8  0  8  0  0  0  8  0  8  0  8  8  8  8  0  8  0  8  0  8  8  0  0  8  0
 0  0  0  0  8  0  0  0  0  0  0  0  8  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  8  0  8  0  8  0  8  8  0  8  0  0  0  0  8  0  8  0  0  0  8  0  8  8  8  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  8  8  8  0  8  0  0  0  8  0  8  8  0  8  8  8  0  0  8  8  0  8  8  0  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  8  8  8  8  8  8  8  8  8  0  0  8  0  0  0  0  0  8  8  0  0  8  8  0  0  8  8  8  8  8  0  0  0  0  0  0  8  8  8  8  8  8  0  8  8  0  0  8  8  0  0  0  0  0  8  0  8  8  8  0  8  0  0  0  8  0  8  0  0  0  8  8  0  8  0  0  8  0  0  8  0  0  0  0  0  8  8  0
 0  0  0  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  8  8  0  0  0  8  0  8  8  8  0  0  0  0  8  0  8  0  8  0  8  8  8  0  0  8  8  8  8  0  0  0  0  0  8  8  0  8  0  0  0  0  8  0  8  0  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0  8  0  0  8  8  0  8  8  0  8  0  8  8  0  8  0  8  8  8  0
 0  0  0  0  0  0  0  8  0  0  8  8  0  0  0  8  8  0  8  8  0  8  0  8  0  0  0  0  8  0  8  8  8  8  8  8  0  8  8  8  8  8  0  8  8  0  8  8  8  0  8  0  8  0  0  0  8  8  8  8  0  0  0  0  8  8  8  0  0  8  8  0  0  8  0  0  8  0  0  8  0  0  0  0  8  8  0  8  0  8  8  8  8  8  8  8  0  8  0

generates a code of length 99 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+31x^88+52x^89+90x^90+118x^91+165x^92+156x^93+224x^94+342x^95+379x^96+818x^97+1208x^98+1160x^99+1183x^100+856x^101+383x^102+320x^103+180x^104+100x^105+91x^106+74x^107+59x^108+40x^109+30x^110+26x^111+28x^112+22x^113+18x^114+8x^115+17x^116+4x^117+2x^118+5x^120+1x^122+1x^150

The gray image is a code over GF(2) with n=792, k=13 and d=352.
This code was found by Heurico 1.16 in 3.91 seconds.