The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  8  2  1  2  1  1  1  1  1 12  1  2  2  0  4
 0  2  0  2  0  8 14 14  4  4  4 12  2  6 14 12  0  2  6  6  0 10  4 14  2  2  2  0 14 12  4
 0  0  2  2 12 14  6  4 12  2  0 14 14  8 10  2  2  2  6  8  8  8 12 12 14  0 12 10 14  2  8
 0  0  0  4  0  0  4  8  8  0  8  0  4  8  4  4 12  0  8  0  4 12  4  4  8  0  4  0 12 12  4
 0  0  0  0  8  8  8  8  0  8  8  0  0  8  8  8  8  8  0  8  0  0  8  8  0  8  8  0  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+215x^26+180x^27+802x^28+724x^29+1579x^30+1272x^31+1549x^32+728x^33+733x^34+148x^35+194x^36+20x^37+33x^38+10x^40+4x^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 21.9 seconds.