The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+756x^26+656x^28+528x^30+79x^32+28x^34

The gray image is a code over GF(2) with n=224, k=11 and d=104.
This code was found by Heurico 1.16 in 86.2 seconds.