The generator matrix

 1  0  1  1  1  4  2  1  1  1 14  1 12  1  1 14  1  1  2  0  1  8  1  1  1  1  0  1
 0  1  1  6 15  1  1  4 13  3  1  6  1  8  3  1  1  5  1  1  4  1 12  1 11  7  0 11
 0  0  2  0  2 10  2 10  4 12  8  2 10 14  6  4  0  6 10  6  8  4 12  0 10  4  2  8
 0  0  0 12  4  8  8  0  0 12 12 12  4  8 12  8  4  0 12  0  4 12  4 12  8  0  8 12

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

Homogenous weight enumerator: w(x)=1x^0+198x^24+512x^25+926x^26+1920x^27+1270x^28+1772x^29+854x^30+492x^31+150x^32+36x^33+50x^34+4x^35+4x^36+2x^38+1x^40

The gray image is a code over GF(2) with n=224, k=13 and d=96.
This code was found by Heurico 1.16 in 0.406 seconds.