The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+138x^91+358x^92+538x^93+529x^94+400x^95+447x^96+384x^97+356x^98+402x^99+245x^100+140x^101+56x^102+28x^103+48x^104+6x^105+1x^106+8x^107+1x^108+2x^112+2x^113+2x^116+2x^117+1x^134+1x^138

The gray image is a code over GF(2) with n=768, k=12 and d=364.
This code was found by Heurico 1.16 in 1.01 seconds.