The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  8  1  4  1  1 12  8  2  1  1  2  8  1  1 12  1  1  2  1  2  1  2  1  1  0  8  2  1  4  8  2  2 12  1
 0  2  0  2  8  0  6 14  0  8  6  2  0 10  0  2  2  4  6  4  6 10  4 12  4 10  4  2 14  4 12  2  8  0  6  6 14 12  6  8  8  6  2  8 12  4 10  2  4 14 10  4 14  2  6 10  4  0  6 12  0 12  2  8  2 14  0  2  2 14  4 12 10  2  0 10  8  4 10  2 12  2 12  0 14 12  2  2  6  0  2  2  4  6  4  0
 0  0  2  2  0 14  6  8  4 10  2  4  4 14 14 12  8  4 10 14  0 14  0 10  2  8 12  2 10  0  2  4  2 12  6  4  4 14  6  4  6 12  6 10  0 12  2  6  6  0  8  8  0 12 12  2  6  8 10  2  0 12  8  6 12 14  6  0 12  8  2  2  0  0  6 12  2  8 10 14  4  2  0 10 12  8 10  4 12  2  8  2 10  0  2  0
 0  0  0  4 12 12  8 12  4 12  0 12  0  4  8  0  4  8 12 12  0  8 12  8 12  8  4 12  8  8  0  4  8  8  0  0  4  4  4 12  0  8  0  4  4  0  0 12  0  4 12  0  8  8 12  8  8  8  4  4  4 12 12  4  8 12  4  0  4 12  8  8  0  4  0  4  8  4  8 12 12  0 12  0 12  0  0  0 12  4 12 12  8  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+94x^90+260x^91+298x^92+324x^93+408x^94+474x^95+594x^96+368x^97+467x^98+224x^99+187x^100+148x^101+88x^102+78x^103+17x^104+36x^105+9x^106+4x^107+7x^108+4x^109+5x^114+1x^154

The gray image is a code over GF(2) with n=768, k=12 and d=360.
This code was found by Heurico 1.16 in 1.37 seconds.