The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+46x^25+185x^26+368x^27+1001x^28+1722x^29+3182x^30+3424x^31+3202x^32+1730x^33+922x^34+320x^35+167x^36+54x^37+30x^38+16x^39+13x^40+1x^42

The gray image is a code over GF(2) with n=248, k=14 and d=100.
This code was found by Heurico 1.16 in 1.38 seconds.