The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^26+240x^27+405x^28+1160x^29+1068x^30+2304x^31+1095x^32+1200x^33+320x^34+208x^35+58x^36+8x^37+36x^38+8x^40+2x^42+1x^44

The gray image is a code over GF(2) with n=248, k=13 and d=104.
This code was found by Heurico 1.16 in 0.407 seconds.