The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  2  0  2  1  0  1  8  1  1 12  2  1 12  4  4  1 12  1  1
 0  2  0  6  0  6  0  2  4  6 12 12 14 14  2 14 10  2  2  2  8  8  2  0  4  2  8 12 10  2 14 14
 0  0 12  0  0  4  4  4  4  0  8 12  4  8  4  4  4  8  0  0  4  0 12  4  8  0  4  4  0  8  4  0
 0  0  0 12 12  4  4  0  8  8  8 12  8 12  4  8 12  8  4  4  8  4  4  4  0  8  8  4  8  0  0  4
 0  0  0  0  8  0  0  0  8  8  8  8  0  8  8  0  8  0  0  8  8  0  8  8  0  8  8  8  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  8  8  8  0  0  8  8  0  0  8  8  8  0  0  0  8  0  0  8  8  0  8
 0  0  0  0  0  0  8  0  0  8  0  0  0  8  8  8  0  8  0  8  8  0  0  0  8  0  0  8  8  8  0  0
 0  0  0  0  0  0  0  8  8  8  8  0  0  8  0  8  0  0  8  8  0  0  0  8  0  0  0  8  0  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+79x^24+150x^25+389x^26+438x^27+1205x^28+1988x^29+3731x^30+5548x^31+5557x^32+5792x^33+3750x^34+1864x^35+1270x^36+476x^37+298x^38+84x^39+75x^40+42x^41+21x^42+2x^43+5x^44+3x^46

The gray image is a code over GF(2) with n=256, k=15 and d=96.
This code was found by Heurico 1.16 in 7.84 seconds.