The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+137x^22+172x^23+649x^24+688x^25+2066x^26+1708x^27+5554x^28+1696x^29+2136x^30+676x^31+555x^32+176x^33+134x^34+4x^35+22x^36+7x^38+3x^40

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 2.49 seconds.