The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+212x^22+436x^23+1308x^24+1992x^25+3346x^26+6196x^27+5597x^28+6400x^29+3498x^30+2028x^31+1131x^32+312x^33+230x^34+44x^35+26x^36+10x^38+1x^44

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 5.82 seconds.