The generator matrix

 1  0  1  1  1  4  1  1 10  1 12  1  1  1  1  1  4  1  1 12  1  1  4  4  1  2  6 14  1  2 14  1
 0  1  1  0  3  1  3  0  1  2  1 15 11  5  1  6  1 11  6  1 12  8  4  1  7 12  1  1  2  8  1  0
 0  0  2  0  2  8  4 10  6  2 14  4 14 12  0  0  6  6  6  6  8  6  2  0  2 10 12  8  2  6  6  0
 0  0  0  2  2 10 12 10  6  0  8 10  8  6  8 12  6  2  2  4  2  8  4  6  6  2  8 10 12 10  0  8
 0  0  0  0  4  0  8  8  0  8  0  0  4  4  4 12  4  8 12  4  4 12  0 12  8  4 12 12  4  4  4  0

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

Homogenous weight enumerator: w(x)=1x^0+46x^25+350x^26+826x^27+1814x^28+4206x^29+7001x^30+11914x^31+12758x^32+12504x^33+7332x^34+3926x^35+1636x^36+750x^37+283x^38+118x^39+47x^40+14x^41+8x^42+2x^46

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 18.5 seconds.