The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+64x^21+245x^22+454x^23+986x^24+2008x^25+3677x^26+5598x^27+6506x^28+5768x^29+3822x^30+2018x^31+917x^32+408x^33+186x^34+58x^35+38x^36+8x^37+5x^38+1x^42

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 6.04 seconds.