The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  1  1  1  1  1  1  1  0  6  0  6  1  1  2  1  1  2  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  5 12 10 15  9  1  1  1  1  0  6 10  8 12  2  0
 0  0  8  0  8  0  8  0  8  8  0  8  0  0  0  8  8  8  8  0  0  0  8  8  8  8  8  8  0  8  0
 0  0  0  8  8  8  8  0  0  0  8  8  8  0  8  0  0  8  8  0  8  0  8  0  8  0  8  0  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+66x^28+176x^29+192x^30+176x^31+183x^32+152x^33+62x^34+6x^36+8x^37+2x^42

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 0.0146 seconds.