The generator matrix

 1  0  1  1  1  4  1  1  4  1  1  0  1  1 10  1  2  1  1 14  1 10  1  1 12  1  1  4  1  1  1  1 14  1  1  0  1  6  1  1  1 14  1  1  6  1  1  1  1  1 14  1  1  0 14  1  1  1  8  8 12  1 10  1  1  1  6 10  1  1  1  6  1  0  1  1 10  1  1  1  1 10  8  1  1  6  1  1 14  2  4  2  1 12  1  1
 0  1  1  0  3  1 13  8  1  0  7  1  3  6  1 10  1  1  2  1  3  1  2  1  1  2 11  1  2  1 12  7  1 11 10  1  1  1  8  5  0  1  9 12  1  3 12 11  0  9  1 13  1  1  1 14  8 14  1  1  1  4  1  3 14  0  1  1  9  5 14  1  2  1  2  7  1  4  5  1  8  1  1  2 15  1  2  4  1  2  2 14 10  1 15  4
 0  0  2  0  0  8  0  2 10 10 10 10  0  8  4  2 14 10 12  4 10  2  2  8 12 14  8  6 14  8 12  6  8  4 12  0  6  0  2  6 14 10  6 12  6 12  8 10  8  4 10  4  2  0  8 14  4 12  6 10 12  6  4 10  4  6  2 12  0  6 12  2  0 14 10 12 10 10  4 14 14  2  4  0  0  6  8  0  4 10  4  0 12 10  0  4
 0  0  0  2  8 10 10  6 14  0 14  0 14  6  4  4 10  6 12  6  8  8  6  0  4  6 10  6  4 12  0  6  2  0  8 12  4  6  2  6  4 14 10 14  8  6 14 12  4 12 10  8 12 14  8 12  4  2  0  2  6  0  0  2 14  2  4 10 14  8  4  8  2 12 10 12 12 14  6  2 14 14  2  8 10  2 12 14  0 10 10  6  2 12 12  6

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

Homogenous weight enumerator: w(x)=1x^0+118x^89+448x^90+920x^91+1184x^92+1482x^93+1501x^94+2012x^95+1659x^96+1850x^97+1392x^98+1322x^99+1000x^100+684x^101+311x^102+196x^103+91x^104+60x^105+42x^106+26x^107+28x^108+30x^109+12x^110+4x^111+4x^112+4x^114+1x^120+1x^122+1x^130

The gray image is a code over GF(2) with n=768, k=14 and d=356.
This code was found by Heurico 1.16 in 5.4 seconds.