The generator matrix

 1  0  1  1  1 14  1  1  8  1  1 12  2  6 10  4  1  1  2  1  1  1  1  1  0  1  0  1  1  1  1
 0  1 11 14  5  1  8  3  1  6 13  1  1  1  1  1  4 10 12 12 10 10  8  0  1 14  1  7 15 12  0
 0  0 12  4  8 12  4  8 12  0 12  0  4  0  8  4  4  8  4  0 12  4  8 12  8 12  4  4  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+14x^28+224x^29+148x^30+304x^31+135x^32+128x^33+20x^34+48x^35+1x^40+1x^48

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 0.031 seconds.