The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 24.

Homogenous weight enumerator: w(x)=1x^0+36x^24+152x^25+322x^26+396x^27+340x^28+336x^29+270x^30+104x^31+35x^32+24x^33+14x^34+12x^35+4x^36+2x^38

The gray image is a code over GF(2) with n=224, k=11 and d=96.
This code was found by Heurico 1.16 in 0.0407 seconds.