The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+49x^22+150x^23+417x^24+814x^25+1737x^26+3140x^27+3776x^28+3166x^29+1794x^30+758x^31+336x^32+130x^33+65x^34+32x^35+14x^36+2x^37+3x^38

The gray image is a code over GF(2) with n=224, k=14 and d=88.
This code was found by Heurico 1.16 in 1.22 seconds.