The generator matrix

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

generates a code of length 31 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+19x^26+100x^27+248x^28+500x^29+1025x^30+348x^31+1011x^32+488x^33+232x^34+92x^35+10x^36+4x^37+2x^38+4x^39+8x^40+1x^42+2x^44+1x^46

The gray image is a code over GF(2) with n=248, k=12 and d=104.
This code was found by Heurico 1.16 in 0.0983 seconds.