The generator matrix

 1  0  1  1  1  2  1  1  2  1  1 12  1  1  8  1  1 12  2 12 14  2  1  8 12  0  1 12  1  4  1  1
 0  1  1  0  3  1 12  9  1  8 11  1 15 15  1 14  8  1 14  1  1 10 10  0  2  1  0  2 15  4  7  8
 0  0  2  0  6  0  2  8 14  6  0  6  6 12 14  6  8 12  4  8 12  2 10  2 14 10 14  2 10  2  6  8
 0  0  0  2  6  2  4 14 10 10  4  0  0  2 10  2 12 12  6 14  0 10 12 10 12  4  6  2 14 12  4  4
 0  0  0  0  8  0  0  0  0  0  8  0  8  8  0  8  8  8  8  8  8  0  8  0  0  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  0  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^25+331x^26+978x^27+2087x^28+4590x^29+7453x^30+10704x^31+12886x^32+10906x^33+7815x^34+4524x^35+1861x^36+890x^37+255x^38+112x^39+61x^40+4x^41+18x^42+2x^43

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 18.3 seconds.