The generator matrix

 1  0  1  1  6  1  1  1  6  1 12  1  1  1 14  1  1 12  2  1  1  1  1  1  1  8 12 14  1  1  1
 0  1  1  6  1 11 13  4  1  2  1  7  4 11  1  2 13  1  2  0 13  8 11 10 13  1  0  1  4  0  0
 0  0  2  0  8  4 12 10  6 10  6  2 14  6 10 14  6 10  2  0  4 10 10 14 14 10  2  2 12  6  0
 0  0  0  8  8  0  8  0  8  8  0  8  0  8  8  8  0  0  0  8  0  8  0  0  8  8  8  0  0  0  0

generates a code of length 31 over Z16 who´s minimum homogenous weight is 27.

Homogenous weight enumerator: w(x)=1x^0+110x^27+288x^28+568x^29+742x^30+850x^31+684x^32+410x^33+218x^34+152x^35+34x^36+14x^37+14x^38+8x^39+1x^40+2x^42

The gray image is a code over GF(2) with n=248, k=12 and d=108.
This code was found by Heurico 1.16 in 0.0947 seconds.