The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+43x^22+238x^23+949x^24+1932x^25+3460x^26+6288x^27+6967x^28+6288x^29+3524x^30+1910x^31+834x^32+222x^33+72x^34+12x^35+17x^36+4x^37+5x^38+2x^41

The gray image is a code over GF(2) with n=224, k=15 and d=88.
This code was found by Heurico 1.16 in 3.13 seconds.