The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+85x^28+68x^29+268x^30+252x^31+201x^32+60x^33+44x^34+4x^35+40x^36+1x^52

The gray image is a code over GF(2) with n=248, k=10 and d=112.
This code was found by Heurico 1.16 in 0.0277 seconds.