The generator matrix

 1  0  1  1  1 14  1  1  0  1 14  1  0  1  1  1  1  6  1  1  8  8  4  1  1  0  1  1
 0  1 11  6  1  1  0  3  1 14  1  5  1 14 11  8 11  1 10  6  1  1  4  5  5  2 14  8
 0  0 12  0  0  0  0  0  0  8  8  4  4 12  8 12 12  4 12  0  8 12  0 12  4  4  8  8
 0  0  0 12  0  0 12  8 12  8  4  4 12  0 12 12  4  8  8 12  0 12  8  0  0 12  0 12
 0  0  0  0  4  4 12  8  4 12  0  8  8  0  8  4  4  4  4 12  8 12 12  4 12  0 12  0
 0  0  0  0  0  8  8  8  8  8  0  0  8  8  8  0  8  0  0  0  0  8  0  0  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+46x^21+123x^22+378x^23+646x^24+2046x^25+3271x^26+6730x^27+6242x^28+6754x^29+3319x^30+2110x^31+612x^32+298x^33+97x^34+62x^35+18x^36+8x^37+6x^38+1x^48

The gray image is a code over GF(2) with n=224, k=15 and d=84.
This code was found by Heurico 1.16 in 4.33 seconds.