The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+100x^25+317x^26+686x^27+1142x^28+2112x^29+3813x^30+5078x^31+5859x^32+5732x^33+3818x^34+1934x^35+1140x^36+616x^37+234x^38+106x^39+44x^40+16x^41+9x^42+4x^43+6x^44+1x^46

The gray image is a code over GF(2) with n=256, k=15 and d=100.
This code was found by Heurico 1.16 in 7.48 seconds.