The generator matrix

 1  0  0  1  1  1 14  0  8 12  1  1  1  1  2  1  1  1 14  1  1  1 12  1  0 14  6  1 14  1  1
 0  1  0  1 14 11  1 10  1  1 13 12  5 12  6  8  3  0  1 14 14  1  1  4  1  1  0 13  1  2  0
 0  0  1  1  1  0  3  1 12  1  4  2 15  5  1  0  6 13  4  7  2  1  5  7 10 10  1 12  7  8  2
 0  0  0  2  6  4 10 10 10  4 14 10 12 12  2  2  8 10  4 10  8  8  8  8 12  0  8  2  6  8  2

generates a code of length 31 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+224x^26+900x^27+2314x^28+3800x^29+5804x^30+6812x^31+5680x^32+3936x^33+2158x^34+764x^35+296x^36+40x^37+28x^38+4x^39+5x^40+2x^42

The gray image is a code over GF(2) with n=248, k=15 and d=104.
This code was found by Heurico 1.16 in 4.78 seconds.