The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^89+1053x^90+1614x^91+2438x^92+3082x^93+3172x^94+3440x^95+3888x^96+3426x^97+2982x^98+2446x^99+1766x^100+1270x^101+834x^102+428x^103+372x^104+138x^105+97x^106+48x^107+12x^108+16x^109+16x^110+4x^111+3x^112+4x^114+2x^118+4x^119

The gray image is a code over GF(2) with n=768, k=15 and d=356.
This code was found by Heurico 1.16 in 16.5 seconds.