The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^21+545x^22+1044x^23+2228x^24+4298x^25+7781x^26+10252x^27+12442x^28+10726x^29+8283x^30+4156x^31+2025x^32+958x^33+410x^34+164x^35+70x^36+16x^37+3x^38+2x^40+1x^42+1x^46

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 27.1 seconds.