The generator matrix

 1  0  1  1  1  6  1  1  1 12  1 10  1  1  1  0  1  1  6  1  1  1  1  1  1  1  2  1  1  0 12
 0  1  3  6  5  1 15  9 12  1 10  1  5  3  0  1 15  6  1  5 15  9  0 10 12  6  0  8 10  2  2
 0  0  8  0  0  0  8  0  8  8  8  8  8  0  0  0  8  0  0  8  0  8  8  0  8  8  8  0  0  0  0
 0  0  0  8  0  8  8  8  8  8  0  0  0  0  8  8  0  0  0  8  8  8  0  0  8  8  0  8  8  8  0
 0  0  0  0  8  0  8  8  0  0  0  0  8  8  0  0  8  0  0  8  8  0  0  8  8  0  8  8  0  8  8

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

Homogenous weight enumerator: w(x)=1x^0+283x^28+128x^29+464x^30+256x^31+551x^32+128x^33+208x^34+27x^36+1x^44+1x^52

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 1.04 seconds.