The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^25+681x^26+1800x^27+4506x^28+6930x^29+12295x^30+12534x^31+12845x^32+7118x^33+4369x^34+1518x^35+566x^36+182x^37+61x^38+18x^39+2x^40+8x^41+2x^42+2x^43

The gray image is a code over GF(2) with n=248, k=16 and d=100.
This code was found by Heurico 1.16 in 14.6 seconds.