The generator matrix

 1  0  1  1  1 14  1  1  0  1  1 14  1  1  8  1  1  6  1  1  6  1  1  8  1  1 12  1  1  2  1  1  2  1  1 12  1  1  1  1  1  1  1  1  4  4 10 10  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  8  8  0  0 14 14  6  6 12 12  4  4 10 10  2  2
 0  1 11 14  5  1  0 11  1 14  5  1  8  3  1  6 13  1  8  3  1  6 13  1  4  7  1 10  9  1  4  7  1 10  9  1 12 12  2  2 15 15  1  1  1  1  1  1  8  8  6  6  0  0 14 14 11 11  3  3 13 13  5  5 12 12  4  4 10 10  2  2 15 15  7  7  9  9  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  0 12  4  8 12  8  4  8 12  0  4  4  0 12  0 12  8 12  8  0  8  4  4  4  4  8  0  0 12 12 12  4  8  8  0  0  8  4 12  0  8  4 12  4 12  0  8  8  0 12  4 12  4  8  0  8  0 12  4  8  0 12  4 12  4  8  0 12  4  8  0 12  4  8  0 12  4  8  0  8  0 12  4  8  0 12  4 12  4  8  0 12  4  8  0

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

Homogenous weight enumerator: w(x)=1x^0+1020x^96+3x^128

The gray image is a code over GF(2) with n=768, k=10 and d=384.
This code was found by Heurico 1.16 in 0.756 seconds.