The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  8  2  1  1  1  1  2  0  1  2  1  1  2  1  2  8  1  1  2
 0  2  0  6  4  6 12  2  8  0  6 14  2  6 10  2  4  4 14  2  8  6 14 12 10  6  6  2  0 10 14
 0  0 12  0  4  0  0  8  0  4  4 12  0  8 12 12  8  4  8  8  0  4 12  0 12  4  4  4  8  0  0
 0  0  0 12  0  0  8  4  4  4  4  8 12  0  4  0 12  4  4  8 12 12  0  8 12  4 12  8  0  8 12
 0  0  0  0  8  8  8  8  0  0  0  8  8  8  8  0  8  8  8  8  8  0  0  0  0  8  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+77x^26+80x^27+367x^28+416x^29+735x^30+800x^31+717x^32+416x^33+315x^34+80x^35+50x^36+25x^38+14x^40+3x^44

The gray image is a code over GF(2) with n=248, k=12 and d=104.
This code was found by Heurico 1.16 in 0.186 seconds.