The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+70x^21+215x^22+658x^23+756x^24+2512x^25+2987x^26+6918x^27+4447x^28+7104x^29+2808x^30+2590x^31+913x^32+536x^33+132x^34+74x^35+24x^36+18x^37+1x^38+2x^40+1x^42+1x^44

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 7.8 seconds.