The generator matrix

 1  0  1  1  1  6  1 12  1  1 10  1  1  1  8  1  1 14  1  1  2  1  1  1  1  0  8  1 12  1  1
 0  1 11  6 13  1 12  1  3 10  1  1  7  8  1 14  5  1  4 15  1  6  9 13 11  1  2  5  1 14 12
 0  0 12  0  4  0  0  8  0  8  8  4  4  4 12 12  8 12  4  8 12  8  0 12 12  8  4  0  8  4  8
 0  0  0  8  0  0  8  0  0  0  8  8  0  8  8  8  8  0  0  8  0  0  8  8  8  8  0  0  8  0  8
 0  0  0  0  8  0  8  8  8  0  0  0  8  0  8  8  8  0  0  0  8  8  0  0  8  8  8  8  8  8  8
 0  0  0  0  0  8  0  8  8  8  0  0  8  8  8  0  0  8  0  8  0  8  0  8  8  0  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+61x^26+204x^27+541x^28+992x^29+1457x^30+1720x^31+1456x^32+1000x^33+513x^34+148x^35+41x^36+24x^37+15x^38+8x^39+7x^40+2x^42+2x^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 0.403 seconds.