The generator matrix

 1  0  0  0  1  1  1 10  2  1  1  1 14 14  1  2 10  1  6  1 10  0  4  1  6  1  4  1
 0  1  0  0  0  9 13  1  1 12 11  8  1  2  9 12  2 11  1  1  1  1  6  2  1  1  1  0
 0  0  1  0  1  1  4  5 10  2 15 11  3  1  0  1  6  0 15 11  8  2  1 11 13  7  5  0
 0  0  0  1  1  4  5  5 11  9  5 14 12  3  6  0  1  5  9 10 12 10  2  3  8  4  2  0
 0  0  0  0  8  0  0  0  0  0  0  0  0  0  8  8  8  8  8  8  8  0  8  0  8  8  0  0

generates a code of length 28 over Z16 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+191x^22+1052x^23+3646x^24+7620x^25+15500x^26+23408x^27+27298x^28+24790x^29+15794x^30+7078x^31+3289x^32+1024x^33+316x^34+44x^35+6x^36+6x^37+7x^38+2x^39

The gray image is a code over GF(2) with n=224, k=17 and d=88.
This code was found by Heurico 1.16 in 50.6 seconds.