The generator matrix

 1  0  0  1  1  1  2  1  1  1  1  4  0  2 12  0  1  2  1  8  1  4  1  1  1  0  1  1
 0  1  0  4  5  1  1  2  7  6  3  1  6  1  1  1 14  2  6  4  3  1  1 10  2  1 11  5
 0  0  1  7  3  4  1  2  1  5  6  2  1  7  3  5  7  1  0  1  3  7  2  5  2  6  7  5
 0  0  0  8  0  0  0  0  0  8  0  8  8  8  8  0  0  0  0  0  0  8  8  8  0  8  8  8
 0  0  0  0  8  0  0  0  8  8  8  8  8  0  8  8  0  8  8  8  8  8  8  0  8  0  0  0
 0  0  0  0  0  8  0  0  0  0  8  8  8  8  8  0  0  8  8  0  8  0  0  8  0  0  8  0
 0  0  0  0  0  0  8  8  8  0  0  8  8  8  0  8  0  8  0  0  8  8  0  0  8  0  0  8

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

Homogenous weight enumerator: w(x)=1x^0+145x^22+356x^23+1692x^24+3072x^25+8205x^26+11588x^27+15726x^28+11072x^29+8330x^30+3276x^31+1561x^32+320x^33+146x^34+12x^35+26x^36+5x^38+2x^40+1x^42

The gray image is a code over GF(2) with n=224, k=16 and d=88.
This code was found by Heurico 1.16 in 15.1 seconds.