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

generates a code of length 93 over Z16 who´s minimum homogenous weight is 88.

Homogenous weight enumerator: w(x)=1x^0+89x^88+114x^90+356x^92+1024x^93+314x^94+58x^96+42x^98+24x^100+6x^102+11x^104+4x^106+4x^108+1x^176

The gray image is a code over GF(2) with n=744, k=11 and d=352.
This code was found by Heurico 1.16 in 0.981 seconds.