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

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

Homogenous weight enumerator: w(x)=1x^0+228x^26+184x^27+295x^28+112x^29+124x^30+24x^31+55x^32+1x^44

The gray image is a code over GF(2) with n=224, k=10 and d=104.
This code was found by Heurico 1.16 in 0.0311 seconds.