The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+76x^27+294x^28+496x^29+998x^30+424x^31+971x^32+464x^33+284x^34+56x^35+3x^36+12x^37+6x^38+4x^39+2x^40+4x^41+1x^44

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 0.122 seconds.