The generator matrix

 1  0  1  1  1 12  1  1 10 14  1  1  1  1  1  2  1  1 12  1  1  0  1  0  8  1  1 10  2  1  1
 0  1  1  0 11  1 14 15  1  1  2 13 15  0  1  1 10  1  1  9 15  1 10  0  1 12  0  1  1  8  9
 0  0  2  6  0  2  8  2  6  0  2  4  6  0  8 10  2  4 12 10  0  2  6  2 14 12  0 12  4  8  4
 0  0  0 12  0  0  0  0  0  0  4  8 12  4 12 12  8  4  4 12  8 12  8 12  8 12  4  0  0  8  4
 0  0  0  0 12 12  4  4  8 12  4  8  4 12  8  4  4  4  8  0  8  8  8 12 12  4  0  4  0  0  0

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

Homogenous weight enumerator: w(x)=1x^0+110x^25+326x^26+942x^27+1729x^28+4056x^29+5250x^30+7702x^31+5646x^32+4150x^33+1580x^34+804x^35+263x^36+124x^37+42x^38+22x^39+9x^40+8x^41+2x^42+2x^43

The gray image is a code over GF(2) with n=248, k=15 and d=100.
This code was found by Heurico 1.16 in 7.04 seconds.