The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+184x^22+446x^23+1766x^24+3754x^25+7524x^26+11986x^27+13884x^28+12642x^29+7456x^30+3458x^31+1717x^32+462x^33+222x^34+14x^35+8x^36+6x^37+4x^38+2x^42

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 12.5 seconds.