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
 0 12  0  4  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  0  4 12  0  8  4  4  8  4  8  4  4  0 12  8  0 12  8  4  8  0 12  4 12  8  4  8 12  8 12  0  4  0  8  4  4  4  8  0 12  8  0  4  4 12  8  8  8 12  4  8  8  8  4 12  0  0  4 12  0  8 12  4  0  8 12 12 12 12  4
 0  0 12  4  0 12  4  0 12  0  4  0  0 12  4  0  0 12  4  0  0 12  4  0  8  4  0 12  8  0 12 12  8  8 12 12  8 12 12  8  0  4  8 12  4  8  0  4  8  8  4  4  8  8  4 12  0 12  4  0  4 12  8  8 12  8  8 12  8 12  8 12  8  8  8  8  4  4  0 12  8  0  4  8  8  0 12  4  0  8  4
 0  0  0  8  0  0  8  0  0  0  8  0  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  0  8  8  8  0  8  8  0  8  0  8  0  0  0  0  0  8  8  0  8  8  8  8  0  8  8  8  8  8  0  0  0  8  0  0  0  0  8  8  0  8  8  8  0  0  8  0  8  0  8  0  0  8  8  8  8  0  0  0  0  0  8  8  8
 0  0  0  0  8  0  8  8  8  0  8  0  8  8  0  8  8  8  0  8  8  8  0  8  0  0  0  8  0  0  0  8  0  0  8  0  8  0  8  8  8  8  8  8  8  0  8  8  8  8  0  8  0  8  0  0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  8  0  0  0  0  0  8  8  0  0  0  0  0  8  0  0  8
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  8  8  0  0  0  0  8  8  8  8  0  8  0  0  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  8  0  0  8  8  0  8  0  0  0  0  0  0  0  8  8  0  0  0  8  8  0  8  8  8  0  8  0  0  0  8  8  8  8  0  8  0  8  8  8  0  0  0  8  8  0  0  8

generates a code of length 91 over Z16 who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+59x^86+96x^87+68x^88+1600x^91+68x^94+96x^95+59x^96+1x^182

The gray image is a code over GF(2) with n=728, k=11 and d=344.
This code was found by Heurico 1.16 in 3.15 seconds.