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

generates a code of length 96 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+67x^86+118x^88+48x^90+58x^92+441x^94+2736x^96+336x^98+68x^100+94x^102+66x^104+2x^108+30x^110+18x^112+7x^118+4x^120+1x^126+1x^160

The gray image is a code over GF(2) with n=768, k=12 and d=344.
This code was found by Heurico 1.16 in 23.7 seconds.