The generator matrix

 1  0  0  1  1  1 10  1 12  1  6  1  0  1 12  1  6  1  1 14  1  1  1  1 12  1  1  8  1  2  1
 0  1  0  4  5 11  1  2  1  4  0 15  1 15  6 15  1 10  9  1 12  1 14  3  1  7 11  1  7  1  0
 0  0  1  7  3  4  5  2  5  1  1  5  6  6  1  3  3  6  0  2  6 15 15  3  1 13 13  3 14  2  0
 0  0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  8  8  0  8  0  8  0  8  0  8  8  8  0  0
 0  0  0  0  8  8  0  8  8  8  8  8  0  0  0  0  0  0  0  8  8  0  8  0  8  8  0  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+100x^26+474x^27+1203x^28+2134x^29+2650x^30+3274x^31+2806x^32+2110x^33+986x^34+406x^35+169x^36+42x^37+6x^38+6x^39+13x^40+2x^41+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 1.02 seconds.