The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+81x^88+198x^89+431x^90+652x^91+1227x^92+1334x^93+1834x^94+1430x^95+2152x^96+1432x^97+1805x^98+1308x^99+1203x^100+616x^101+368x^102+146x^103+55x^104+26x^105+14x^106+6x^107+10x^108+2x^109+21x^110+8x^111+6x^112+8x^113+5x^114+2x^115+1x^120+1x^130+1x^134

The gray image is a code over GF(2) with n=768, k=14 and d=352.
This code was found by Heurico 1.16 in 6.26 seconds.