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 12  6  0  6 12 10  0  6 12 10  8 14  4 10  0  6  8 14 12  4 14 10  8  2  4  6
 0  0  8  0  0  8  8  8  8  0  0  8  8  8  0  0  8  8  8  0  0  0  8  0  0  8  8  0
 0  0  0  8  8  8  8  0  8  0  0  8  0  0  8  8  0  0  8  8  8  0  8  0  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+36x^26+32x^27+374x^28+32x^29+36x^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 0.0116 seconds.