The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  2  2  2  2  2  2  1  2  4
 0 12  0  4  0  0  4 12  8  8 12  4  8  8 12  4  8  4 12  0 12 12  0  0  8 12  8 12
 0  0 12  4  8  4 12  8  8  4 12  8  0 12  4  0  4  4  0 12  4  8  0  8  8  0 12  8

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

Homogenous weight enumerator: w(x)=1x^0+26x^26+62x^27+83x^28+58x^29+13x^30+6x^31+4x^32+1x^34+2x^37

The gray image is a code over GF(2) with n=224, k=8 and d=104.
This code was found by Heurico 1.16 in 0.00746 seconds.