The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1
 0  2  0 14  4  6 12  2  0 14  8 14 12  2 12 10  8  6  8  6  8  6  4  4 10  2 10  6
 0  0 12  4  4  8  8 12  8 12  4  0 12  4  0  8  8  0 12 12  0  4  8 12 12  8  4  8

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

Homogenous weight enumerator: w(x)=1x^0+32x^26+48x^27+350x^28+48x^29+32x^30+1x^56

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 0.0113 seconds.