The generator matrix

 1  0  1  1  1 14  1  1  4  1  1  4  6  1 12  1  1  1  1  1  1  4  0 14  4  1 10  0  2  8  2
 0  1  1  0  7  1  2  3  1  6  5  1  1 15  1  2  3 14  3  4 10  1  4  1  1  1  1  1 14  1  4
 0  0  2  6  2  4 14  0  2  0  8  4  8  2 10 10  0 12 10 10  4  4  2  8 10  8  4  0 14 12  6
 0  0  0 12  0  0 12  0  8  8  8  8  0 12 12  8 12 12 12  8  4  8  4 12  0  4 12  8  0  4  4
 0  0  0  0  8  8  8  8  8  8  0  0  0  8  8  0  8  0  0  8  8  8  8  8  8  0  0  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+214x^26+440x^27+1140x^28+1832x^29+3074x^30+3168x^31+2933x^32+1792x^33+1092x^34+424x^35+200x^36+24x^37+34x^38+14x^40+2x^42

The gray image is a code over GF(2) with n=248, k=14 and d=104.
This code was found by Heurico 1.16 in 1.37 seconds.