The generator matrix

 1  0  0  1  1  1  2  1  1  8 12  1 12  1  2  1  1 12  6  1  1  1  6  1  1  8 12  0  1  1  1
 0  1  0  4  5  7  1  2  1  1  6  0  1  7  2 12  1  1  1 10  3  7  1 14  2  1  6  1  9  0  0
 0  0  1  7  3  2  1  1  4  2  1  6  3  1  1  5  2  6  3  5  5  4  5  4  4  8  1  6  8  0  0
 0  0  0  8  0  0  8  0  8  0  0  8  8  0  8  0  8  8  0  8  8  8  0  0  0  0  8  8  8  8  8
 0  0  0  0  8  0  8  0  0  8  8  8  0  8  0  8  0  0  0  8  0  8  0  0  8  0  8  8  8  0  8
 0  0  0  0  0  8  8  8  0  0  0  8  8  8  0  0  8  0  8  8  0  0  0  8  0  8  8  0  8  0  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+308x^26+858x^27+1956x^28+3868x^29+5286x^30+8122x^31+5339x^32+3900x^33+1906x^34+734x^35+252x^36+108x^37+50x^38+14x^39+4x^40+2x^41+2x^42

The gray image is a code over GF(2) with n=248, k=15 and d=100.
This code was found by Heurico 1.16 in 3.7 seconds.