The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1  1  1  0  6  1  1  1  1 12 10  1  1  1  1  8  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  5  1  1 12 10 15  9  1  1  8 14  4  2  0  8 14
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  0  8  8  0  8

generates a code of length 31 over Z16 who´s minimum homogenous weight is 29.

Homogenous weight enumerator: w(x)=1x^0+24x^29+270x^30+48x^31+77x^32+24x^33+66x^34+2x^44

The gray image is a code over GF(2) with n=248, k=9 and d=116.
This code was found by Heurico 1.16 in 0.00983 seconds.