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

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

Homogenous weight enumerator: w(x)=1x^0+3x^96+50x^97+4x^98+4x^101+2x^105

The gray image is a code over GF(2) with n=768, k=6 and d=384.
This code was found by Heurico 1.16 in 0.537 seconds.