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

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

Homogenous weight enumerator: w(x)=1x^0+120x^96+4x^104+2x^112+1x^128

The gray image is a code over GF(2) with n=768, k=7 and d=384.
This code was found by Heurico 1.16 in 0.6 seconds.