The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  4  1 12  1  2  1  2  1  1  0  1  8  0  1  1
 0  2  0  2  8  0 10  2  4  6  4  6 12  6  4 14  2  0  2  8  2 14 10  6  0  2  8  2  0 12 12
 0  0  2  2  4  6  6  4  4  8  2 10  0 12  6 14  2  8 14 10 10  6  8  2  4  8 14 10  4  6  6
 0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  8  0  8  8  8  8  0  0  8  0  8  0  8  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+317x^28+72x^29+590x^30+248x^31+399x^32+184x^33+140x^34+8x^35+75x^36+6x^38+7x^40+1x^48

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 60 seconds.