The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+58x^25+191x^26+340x^27+938x^28+1748x^29+3480x^30+2930x^31+3502x^32+1702x^33+916x^34+296x^35+157x^36+72x^37+20x^38+18x^39+9x^40+4x^41+1x^42+1x^44

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 1.46 seconds.