The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  4  1  4  2  1  1  4  1  0  1  2  2
 0 12  0  0  0  4 12  4  8 12  8  0  0  4  4  4  4  8  8  0  8  4  4 12 12  8 12  4  0  4  8
 0  0 12  0  4  4  4  8  0  4  8  4 12  4  8  0  0 12  0  0  4  8  0  8 12  4  4 12  8  8  4
 0  0  0 12  4  0  4  4  8  0 12  4  8  4  0  4  4 12  4 12 12 12 12  0 12  8  4 12  0  4  8
 0  0  0  0  8  0  0  8  8  8  0  0  0  8  8  0  8  8  0  8  8  8  0  8  0  0  8  0  0  0  8
 0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  0  8  8  0  8  8  8  8  0  8  0  0  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+30x^25+101x^26+174x^27+195x^28+472x^29+739x^30+728x^31+731x^32+470x^33+187x^34+110x^35+56x^36+44x^37+29x^38+12x^39+8x^40+8x^41+1x^44

The gray image is a code over GF(2) with n=248, k=12 and d=100.
This code was found by Heurico 1.16 in 0.256 seconds.