The generator matrix

 1  0  1  1  1  4  1 10  1  6  1  1  1  2 10  1  6  1  1  2  1  4  1  1 12  1  1  1
 0  1  1  0 11  1  6  1 13  1  7  2  1 10  1  4  1 12  7  2 12  1  8 13  1  4  1 12
 0  0  2  6  0  2  0  2  4  4  6  2  6  6  2  8  8  2 12  6 12  0  4  2 12 10  2  2
 0  0  0 12  0  4  4  8 12  4 12 12  0  4  4  4 12  0  0  8  0  8  8 12  8  8  0 12
 0  0  0  0 12  4  4 12  4  8  0 12 12  4  8  0  4 12  8 12 12 12  4 12 12  0  8  0
 0  0  0  0  0  8  0  0  8  8  8  8  8  0  0  8  0  0  8  8  0  8  8  0  0  0  8  0

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

Homogenous weight enumerator: w(x)=1x^0+58x^21+265x^22+628x^23+1563x^24+3132x^25+7267x^26+12116x^27+15483x^28+11908x^29+7463x^30+3276x^31+1547x^32+540x^33+173x^34+76x^35+29x^36+10x^37+1x^48

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 15.1 seconds.