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  2  1  2  2  2  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  2  2  2  2  2  2  2  2  2  4  2  2  2  2  2  2  2  0  2  2  2  2  2  4  2  8  2
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4  8 12  8  8  8  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  4 12  4  4  4 12 12 12  0  0  8  8  0  8  4  4 12  4  0  0  8  0  8  8  4  0  4  0
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  8  8  4 12  4  8  4  4  4  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  8  0 12  4  0  0 12  4  0  0 12  4  0  0 12  4  0  4  0 12  0  4  0 12  8 12  4  4  8 12  0  4 12  8  8  4  0  0  4 12 12  4  8  4  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  0  0  8  8  0  0  0  8  8  8  8  0  0  8  0  0  8  8  0  8  8  8  0  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  8  8  8  8  0  8  8  8  8  8  0  8  8  0  8  8  0  0  8  8  8  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+114x^92+232x^94+364x^96+208x^98+70x^100+8x^102+24x^104+2x^120+1x^128

The gray image is a code over GF(2) with n=768, k=10 and d=368.
This code was found by Heurico 1.16 in 0.91 seconds.