The generator matrix

 1  0  0  1  1  1 14  1  1  6  1  1 10  0  2  1  1 14  1  4  8 10  1  1  8  8  1  1  1  1  1
 0  1  0  2  1 11  1 12  6  0  7  9  1  1  6  2 12  1  1  1  2  1 15  0  1  1  5  9  1 10 12
 0  0  1  1  5  4  3  6  7  1  7  4  5  2  1 12 15  8  2  3  1  3  9  9  4 14 14  8 14 15  4
 0  0  0  4  4  8  4  8 12  8  0 12  0  4 12  0  4 12  8  4  0  0  8 12  8  0  4  8 12  0 12
 0  0  0  0  8  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  8  0  8  8  8  8  8  8  0  0

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

Homogenous weight enumerator: w(x)=1x^0+268x^26+900x^27+2295x^28+3540x^29+6012x^30+6720x^31+6104x^32+3640x^33+2168x^34+756x^35+249x^36+52x^37+44x^38+8x^39+7x^40+4x^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 4.2 seconds.