The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+84x^21+439x^22+982x^23+1907x^24+3656x^25+6921x^26+11484x^27+14108x^28+11986x^29+7251x^30+3614x^31+1697x^32+812x^33+363x^34+144x^35+76x^36+6x^37+2x^38+3x^40

The gray image is a code over GF(2) with n=224, k=16 and d=84.
This code was found by Heurico 1.16 in 21.3 seconds.