The generator matrix

 1  0  1  1  1 14  1  1 14  1  0  1  1  1  1  6  1  2  1  1 12  1  1  8  2  8  8  1
 0  1 11  6  5  1 11  0  1 14  1 13  6  3 10  1 13  1  9 12  1  1  7  1 14  2  2  3
 0  0 12  0  0  0  0  4  4  4  4  4  4  8  0  8  8  0  8 12  8  4  0 12  0  0  4  0
 0  0  0 12  0  4  4  4  8  8 12  8  4  0  8  0 12  4  0 12  8  0 12  8 12  4  8  8
 0  0  0  0  8  0  0  8  8  8  8  8  8  8  8  8  0  8  8  8  8  8  8  0  0  0  0  0
 0  0  0  0  0  8  0  0  0  8  0  0  8  0  8  8  8  8  8  0  0  8  0  8  0  8  0  0
 0  0  0  0  0  0  8  0  0  0  0  8  0  8  8  8  8  8  0  8  0  0  0  8  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+42x^21+145x^22+294x^23+686x^24+1776x^25+3428x^26+7128x^27+5806x^28+7040x^29+3471x^30+1872x^31+657x^32+216x^33+116x^34+48x^35+18x^36+14x^37+7x^38+2x^39+1x^46

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 4.22 seconds.