The generator matrix

 1  0  1  1  1  6  1  1  0  1  1 14  1  1  8  1  6  1 14  2  1  2  1  1  4  1  1  1  4  1  1  1
 0  1 11  6  1  1  8  5  1  3  0  1  7  6  1 13  1 14  1  8  9  1  0 13 12  8  9  2  2 11  0  0
 0  0 12  0  0  0  0  0  0  0  0  8  8  4 12 12 12  4  4  4  4  4 12  8  8  0 12  8  0 12  4  0
 0  0  0 12  0  0  0  0  4  4 12 12  4 12  4  4 12  4  4  0 12  8  0  4 12  4  8  4  8 12  8  8
 0  0  0  0  4  0  8  4  0  4  8  0 12 12 12  8 12  4  4  0  8 12  4 12 12  0  8  0  4  4  4 12
 0  0  0  0  0 12 12  4 12  8 12  0  4  4  0  4 12  0  8  8  8  4  8  4  8  4  4  8  4  8  8  4

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

Homogenous weight enumerator: w(x)=1x^0+71x^24+152x^25+329x^26+862x^27+1696x^28+3896x^29+7797x^30+11482x^31+12998x^32+11476x^33+7751x^34+3890x^35+1747x^36+848x^37+303x^38+150x^39+62x^40+12x^41+12x^42+1x^60

The gray image is a code over GF(2) with n=256, k=16 and d=96.
This code was found by Heurico 1.16 in 20 seconds.