The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  2  0  4  1  1  2  1  1 12  2  0  1
 0  2  0  0  0  2  6 14  0  8 14  6 10 12  2  4 14 12  2 12  0  2  0 14 12 10  4  2  4 10  0  8
 0  0  2  0  2  2  2  0  4 14  6  8  4  2 10 10 12  0  2  0 14 12  2 14  4 12  6 12  2 14  8  8
 0  0  0  2  2  0  2 10  8  2  4 14 12 10 10  8  8  4  8  2 12 12 10 14  6  2  2  0 10 14  2  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  8  8  0  0  8  8  8  8  8  0
 0  0  0  0  0  8  0  8  8  8  0  0  8  0  8  8  8  0  0  8  8  0  8  8  8  0  8  0  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+62x^25+324x^26+524x^27+1176x^28+1826x^29+3547x^30+5282x^31+7226x^32+5282x^33+3776x^34+1818x^35+1028x^36+462x^37+280x^38+86x^39+40x^40+16x^41+8x^42+2x^43+1x^46+1x^48

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 6.88 seconds.