The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+646x^92+148x^93+920x^94+120x^95+766x^96+132x^97+620x^98+72x^99+422x^100+36x^101+142x^102+39x^104+4x^105+4x^106+8x^108+6x^110+4x^112+4x^114+1x^128+1x^136

The gray image is a code over GF(2) with n=768, k=12 and d=368.
This code was found by Heurico 1.16 in 33.2 seconds.