The generator matrix

 1  0  1  1  1 12  1  1  0  1  1  8  1  2  1  8  1  1  1  8  1  2  4  1  2  1  2  1
 0  1  1  0  3  1 15 12  1  9  2  1  9  1 15  1 15  9 10  1  8  1  0  4  0  0  8  2
 0  0  2  0  0  0  8 14 10  2 10  2 12  0  2 10  2  0  4 12  2  6  2 14 14  4  4  4
 0  0  0  2  0  6 14  8 10 10  6  8 10  4 10 14  4  0  2  6  6  4  4  4  4  6 14  0
 0  0  0  0  8  0  0  0  0  8  8  0  8  8  0  8  8  8  0  0  0  8  8  0  0  0  8  8
 0  0  0  0  0  8  0  0  0  0  0  8  8  8  8  8  0  8  8  0  0  8  0  8  0  8  0  8

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

Homogenous weight enumerator: w(x)=1x^0+216x^22+688x^23+1583x^24+3852x^25+7075x^26+12848x^27+12871x^28+12884x^29+7335x^30+3984x^31+1388x^32+468x^33+217x^34+80x^35+29x^36+12x^37+5x^38

The gray image is a code over GF(2) with n=224, k=16 and d=88.
This code was found by Heurico 1.16 in 15.5 seconds.