The generator matrix

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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+103x^90+434x^91+726x^92+908x^93+766x^94+968x^95+858x^96+852x^97+628x^98+706x^99+527x^100+360x^101+133x^102+56x^103+63x^104+42x^105+8x^106+12x^107+8x^108+12x^109+16x^110+2x^113+1x^114+1x^126+1x^132

The gray image is a code over GF(2) with n=768, k=13 and d=360.
This code was found by Heurico 1.16 in 2.18 seconds.