The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+18x^24+38x^26+63x^28+93x^30+256x^31+1117x^32+256x^33+97x^34+63x^36+18x^38+14x^40+8x^42+1x^44+1x^46+2x^48+1x^50+1x^52

The gray image is a code over GF(2) with n=256, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0591 seconds.