The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  2  0  0  2  1  1  8  2  1  1  4  2  0  1  1  1
 0  2  0  6  0 14 10  8  6  8  2  8 14  2  2  6 10  4  2  6 10 12  2 10  0  8  4  8
 0  0 12  0  0  0  0  4  4  8  4  4  8  8  4  0  4  4 12  0 12  4 12  4  4 12  4  8
 0  0  0 12  0  8 12  0 12  4 12 12  0  4  4  8  8  0  8  0  0 12 12  4  8 12  8  0
 0  0  0  0 12 12  4 12  8  0 12  4  4  4  0  0 12  8  0  8  4  0  4  8  8 12  0  0

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

Homogenous weight enumerator: w(x)=1x^0+34x^22+132x^23+301x^24+478x^25+910x^26+1458x^27+1605x^28+1434x^29+954x^30+466x^31+222x^32+98x^33+50x^34+22x^35+15x^36+6x^37+4x^38+2x^39

The gray image is a code over GF(2) with n=224, k=13 and d=88.
This code was found by Heurico 1.16 in 0.448 seconds.