The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  4  2  2  2  0  4  1  1  4  4
 0 12  0  0  0  0  0  0  0  0  4  8 12 12  4 12  0  8  4  8  4  4  8 12  8  4  4 12 12  4 12  8
 0  0 12  0  0  0  4 12 12  8  4  0 12  8  4  4  4  4 12  0  0  0 12  8 12  8  0  8  0  8 12  0
 0  0  0 12  0  4  4  4  0  8  0  0  0  0  4 12  8  8 12  0  4  4  0  8  4  8  4  4  4  0  4 12
 0  0  0  0 12  4  8  4  4  0  8  4 12  4 12  0  4  8  0  4  8  0 12  8  0  8 12 12  0  0  0  4
 0  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  0  0  8  0  8  0  0  8  8  0  8  8  8  8  0  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+138x^26+146x^27+301x^28+604x^29+896x^30+1252x^31+1420x^32+1288x^33+934x^34+520x^35+265x^36+148x^37+108x^38+60x^39+27x^40+14x^41+4x^42+6x^43+2x^44

The gray image is a code over GF(2) with n=256, k=13 and d=100.
This code was found by Heurico 1.16 in 0.768 seconds.