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  0  2  0  2  0  2  0  2  2  2  2  2  4  2  4  2  2  2  2  4  4  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  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
 0  2  0  6  0  6  0  2  4  6  4  2  4  6  4  2  0  6  0  6  0  6  0  6  4  2  4  2  4  2  4  2  6  2  6  2  6  2  6  2  0  4  0  4  2  2  2  2  0  4  2  2  2  2  0  4  0  4  0  4  0  4  6  2  6  2  6  2  6  2  0  4  0  0  0  0  4  4  4  4  6  6  6  6  2  2  2  2  0  0  0  4  4  4  0  4
 0  0  4  0  0  4  4  4  4  0  4  0  0  4  0  4  0  0  0  0  4  4  4  4  4  4  4  4  0  0  0  0  0  0  4  4  0  0  4  4  0  0  4  4  4  0  4  0  4  4  0  0  4  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  4  4  0  0  4  4
 0  0  0  4  4  4  4  0  0  0  4  4  4  0  0  4  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  4  4  0  4  0  0  4  4  4  4  4  0  0  4  4  0  0  4  0  0  4  0  0  4  4  4  4  0  0  0  0  4  4  4  4  0  0  0  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  0  0  4  4  4  4  0  0  0

generates a code of length 96 over Z8 who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+121x^96+4x^104+1x^112+1x^144

The gray image is a code over GF(2) with n=384, k=7 and d=192.
This code was found by Heurico 1.16 in 0.461 seconds.