The generator matrix

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

generates a code of length 32 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+174x^25+622x^26+1344x^27+2011x^28+4504x^29+6773x^30+11186x^31+11818x^32+11692x^33+6987x^34+4576x^35+1953x^36+1128x^37+453x^38+172x^39+89x^40+38x^41+11x^42+2x^46+2x^47

The gray image is a code over GF(2) with n=256, k=16 and d=100.
This code was found by Heurico 1.16 in 26.6 seconds.