The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+62x^25+286x^26+674x^27+1148x^28+1804x^29+2635x^30+3192x^31+2721x^32+1754x^33+1137x^34+562x^35+224x^36+120x^37+37x^38+20x^39+2x^40+4x^41+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 1.81 seconds.