The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+281x^28+128x^29+504x^30+256x^31+509x^32+128x^33+192x^34+36x^36+8x^38+2x^40+3x^44

The gray image is a code over GF(2) with n=248, k=11 and d=112.
This code was found by Heurico 1.16 in 0.0367 seconds.