The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+96x^28+460x^29+384x^30+408x^31+205x^32+252x^33+122x^34+80x^35+18x^36+16x^37+6x^38

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 0.047 seconds.