The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+228x^91+818x^92+1084x^93+1016x^94+1088x^95+868x^96+836x^97+497x^98+476x^99+371x^100+268x^101+210x^102+176x^103+125x^104+52x^105+53x^106+16x^107+6x^108+3x^116

The gray image is a code over GF(2) with n=768, k=13 and d=364.
This code was found by Heurico 1.16 in 1.67 seconds.