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

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

Homogenous weight enumerator: w(x)=1x^0+7x^92+144x^93+55x^94+352x^95+55x^96+240x^97+7x^98+64x^99+96x^101+1x^124+1x^126+1x^130

The gray image is a code over GF(2) with n=768, k=10 and d=368.
This code was found by Heurico 1.16 in 0.901 seconds.