The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 28.

Homogenous weight enumerator: w(x)=1x^0+230x^28+1024x^29+418x^30+1072x^31+255x^32+696x^33+184x^34+128x^35+58x^36+24x^37+6x^38

The gray image is a code over GF(2) with n=248, k=12 and d=112.
This code was found by Heurico 1.16 in 0.063 seconds.