The generator matrix

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

generates a code of length 28 over Z16 who´s minimum homogenous weight is 21.

Homogenous weight enumerator: w(x)=1x^0+42x^21+133x^22+280x^23+418x^24+860x^25+1627x^26+2898x^27+3872x^28+2974x^29+1583x^30+816x^31+417x^32+272x^33+109x^34+34x^35+28x^36+12x^37+4x^38+4x^39

The gray image is a code over GF(2) with n=224, k=14 and d=84.
This code was found by Heurico 1.16 in 1.82 seconds.