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

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

Homogenous weight enumerator: w(x)=1x^0+99x^90+246x^91+189x^92+412x^93+344x^94+548x^95+560x^96+530x^97+375x^98+318x^99+100x^100+168x^101+71x^102+40x^103+31x^104+34x^105+6x^106+14x^108+8x^109+1x^110+1x^164

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 1.33 seconds.