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  1  1  1  2  1  1  1  1  2  1  1  1  2  1  1 12  1  1  1  1  1  1  1  1  2  0  1  2  1  2  1  1  2  1  1  1  1  1  8  1  4  1  1  4  1  1 12  1  8  1  2  1  1  4  2  1  1  8  1  2  1  2  0  2
 0  2  0  2  0  8  2 10  8  2  8 10 12  6 12  6  0 10 12  6  8 14  4 14 12  6 14  0  4  2 14 12 12  2 12  2  6  4 14  8 14  2  6  8  6 12  2  8 14  8  2 10  6  0  6  8  0  2  4 10  8 12 14  0  0 14 12 12 12 10  2 12  2  6  6 12  0 10  4  6  2  8 14  0 12  2  6 14 10  2  0 14  8 10  2  6
 0  0  2  2 12 14  6 12  0  2  6  8  4 12 10  6 12  6 14  0  6  2  4  8 10  4  2  6  8 12  2  0  6 10  0  4  0 10  8  0  2 10  6 10 10 12  4  2 14  6  6 12 14 12  4 12  6 12  2  8 10 14  2 10  6  8  2 10  8  4  2 14  4  4  0  2 12 14  2 12  0 10  6  4 12 10  2 10  4  0  0  6  0 12  0  4
 0  0  0  4  0  0 12  8  4  8 12 12 12 12 12  0 12  8  4 12  8  8  8  8  8  8  4  4  0  4 12 12  0  0  4  0  0 12  8 12  0 12  4 12  4  0  8  8  8 12  8 12  0 12  4  8  8  4  0  8 12 12  4  0  4  4  4  4  0  4  0  0  0  0  4  8  0  4  4  4  4  0  8  8 12  0 12  0 12  8  0  4  8  8  0  4
 0  0  0  0  8  8  8  8  0  0  8  0  8  8  0  8  0  0  0  8  8  8  0  0  0  8  8  8  8  0  0  8  8  8  0  0  0  8  8  0  0  8  0  8  0  8  0  0  0  0  8  8  0  8  0  8  8  0  0  8  0  8  0  8  0  0  8  0  0  8  8  0  8  0  8  8  0  8  8  8  8  0  8  0  8  8  8  0  0  8  8  8  0  8  0  0

generates a code of length 96 over Z16 who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+184x^89+200x^90+486x^91+457x^92+740x^93+762x^94+1008x^95+879x^96+990x^97+776x^98+564x^99+233x^100+340x^101+146x^102+138x^103+72x^104+98x^105+28x^106+42x^107+17x^108+12x^109+8x^110+2x^111+4x^112+4x^113+1x^148

The gray image is a code over GF(2) with n=768, k=13 and d=356.
This code was found by Heurico 1.16 in 3.04 seconds.