The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+114x^26+542x^27+1051x^28+2074x^29+2748x^30+3472x^31+2596x^32+2154x^33+1014x^34+406x^35+125x^36+38x^37+24x^38+12x^39+3x^40+6x^41+4x^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 1.11 seconds.