The generator matrix

 1  0  1  1  1  6  1  1 10  1  1 12  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  6  3  5 12 10 15  9  8 14  4  2 11 13  7  0
 0  0  8  8  0  8  8  0  0  0  8  8  8  0  0  8  0  8  8  0  8  0  0  8  8  0  0  0

generates a code of length 28 over Z16 who´s minimum homogenous weight is 26.

Homogenous weight enumerator: w(x)=1x^0+41x^26+184x^27+58x^28+184x^29+42x^30+1x^34+1x^48

The gray image is a code over GF(2) with n=224, k=9 and d=104.
This code was found by Heurico 1.16 in 0.00721 seconds.