The generator matrix

 1  0  0  0  1  1  1  4  1  2 12  1  1  2  1 14  1  1  4  1  1 12  4  1  1  1 12  1
 0  1  0  0  2  9  5  1  0  4  1  5  3  1 12  1 13  9  1  6  6  4  6  8 12  0  2  0
 0  0  1  0  3  1  6  7  3  1 11 15  6  8  2  5 11  9  7  7  0  1  1 14  1 11  0  0
 0  0  0  1  1  4  3  3 14  5  2  9  2  7  5 11  6 11  4  2  5  6  9  7  7  4  1  0
 0  0  0  0  4  8  0  8  8  0  0  8  4 12  4  4  4 12  4 12  8 12  4  4  0 12  4  0

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

Homogenous weight enumerator: w(x)=1x^0+88x^21+538x^22+2152x^23+6617x^24+15486x^25+29950x^26+48852x^27+54241x^28+48968x^29+31218x^30+15262x^31+5826x^32+2142x^33+594x^34+160x^35+35x^36+4x^37+4x^38+6x^39

The gray image is a code over GF(2) with n=224, k=18 and d=84.
This code was found by Heurico 1.16 in 194 seconds.