The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+52x^25+116x^26+328x^27+380x^28+956x^29+1310x^30+1966x^31+1296x^32+940x^33+350x^34+300x^35+110x^36+44x^37+15x^38+14x^39+5x^40+8x^41+1x^46

The gray image is a code over GF(2) with n=248, k=13 and d=100.
This code was found by Heurico 1.16 in 0.631 seconds.