The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+124x^26+360x^27+501x^28+868x^29+1334x^30+1982x^31+1275x^32+770x^33+430x^34+308x^35+157x^36+56x^37+15x^38+6x^39+2x^40+2x^41+1x^46

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 0.481 seconds.