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  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  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  0  1  1
 0  2  0  6  4 14 12  2  4  6  8 10  8 14 12 10  0  6 12 10 14  4  2  8 12  6  0 10 12  6  8  2  8  2  8  2  4 14  4 14  8  2  8  2  4 14  4 14 12  6 12  6  8  2  8  2  0 10  4 14  4 14  0 10  4 14  8  2  0  0  6 10  6  6 10  2  0 12  4  0  4  0  6 10  6  6 10  4 12 12  0  8 12  0  2  0
 0  0 12  0  4  4  0  4 12  0  4  0  0 12  0 12  8  8  8  8  4  4 12 12  8  8  8  8 12 12  4  4  4  4  8  8  4  4  8  8  4  4  8  8  4  4  0  0  0  0 12 12  0  0 12 12  0  0 12 12  8  8 12 12  0  0 12 12  0 12  0  4 12  4  8  8  4  0  0  8  0  4  8 12 12  4  0 12 12  4  4 12 12  4  4 12
 0  0  0  8  0  0  8  8  8  8  8  0  8  0  0  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  0  8  0  0  8  8  0  8  8  0  8  0  0  8  8  8  0  0  8  0  0  8  0  8  8  0  8  8  8  8  0  0  0  0  8  8  0  0  0  8  0  8  0  8  8  0  8  0  8  0  0  0  0  0  8  0  8  0  8  0  8  0  8  0  8  0
 0  0  0  0  8  0  0  0  0  8  8  8  8  8  8  8  8  0  0  8  8  0  0  8  8  8  0  0  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  8  0  0  8  8  0  0  8  8  0  0  8  0  8  8  0  0  8  8  0  0  8  8  0  8  0  8  0  8  8  0  0  8  0  8  8  8  8  0  8  0  0  0  0  8  8  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+209x^92+108x^94+384x^95+661x^96+384x^97+120x^98+142x^100+28x^102+10x^104+1x^188

The gray image is a code over GF(2) with n=768, k=11 and d=368.
This code was found by Heurico 1.16 in 1.39 seconds.