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  2  1  2  2  2  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  2  2  2  2  2  2  2  2  2  2  2  2  2  2  0  4  4  4  2  4  4  4
 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  0  4 12  0  0  4  8 12  8  8  8  8 12  8  4  8 12  8  4  8 12  8  4  8 12  8  4  8  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  4  4 12 12 12  4 12  0 12  4 12 12  0 12  0  0  4 12  0  0  4 12  0
 0  0 12  4  0 12  4  0  0 12  4  0  0 12  4  0  8  4 12  8  8  4 12  8  8  4 12  8  8  4 12  4  8  4  4  4  8 12  4  8  8 12  4  8  8 12  4  8  8 12  4  8  0 12  4  0  0 12  4  0  0 12  4  0  0 12  4  0  4 12  0  8 12  4  4 12  0  0  0 12  4  8  0  4 12  8 12  8  4  0  0
 0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  8  8  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  8  0  0  0  0  0  0  0  0  0  0  0  8  8  0  0  0  8  8  0  8  8  0  8  0  0  0  8  8  0  8  0
 0  0  0  0  8  8  8  8  8  8  0  8  0  0  8  0  0  0  0  0  8  8  8  8  8  8  8  8  0  0  0  0  0  8  8  0  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  0  0  0  8  8  8  8  0  8  8  0  0  8  0  0  0  8  8  8  0  0

generates a code of length 91 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+286x^88+208x^90+372x^92+48x^94+94x^96+12x^100+2x^104+1x^128

The gray image is a code over GF(2) with n=728, k=10 and d=352.
This code was found by Heurico 1.16 in 2.16 seconds.