The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+50x^22+114x^23+226x^24+414x^25+749x^26+1794x^27+1506x^28+1790x^29+824x^30+374x^31+173x^32+90x^33+34x^34+22x^35+14x^36+10x^37+6x^38+1x^42

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 0.542 seconds.