The generator matrix

 1  0  1  1  1  6  1  1 12  1  1 10  1  0  6  1  1 12  1  1 10  0  1  1  1  1  1  1
 0  1  3  6  5  1 12 15  1 10  9  1  0  1  1  3  6  1 10 12  1  1  0  5  3  5  3  0
 0  0  8  0  0  0  0  0  0  8  8  0  8  0  0  8  8  8  0  8  8  8  8  0  0  0  0  0
 0  0  0  8  0  0  0  8  0  8  8  0  0  8  8  8  0  8  8  0  0  8  8  0  0  0  8  0
 0  0  0  0  8  0  0  0  8  0  8  0  8  8  8  8  8  0  8  0  0  0  0  0  8  8  8  8
 0  0  0  0  0  8  0  8  8  0  8  0  8  0  8  0  0  8  0  8  0  8  8  8  0  8  0  0
 0  0  0  0  0  0  8  8  0  8  0  8  8  8  0  8  8  0  0  0  0  8  0  8  8  8  8  8

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

Homogenous weight enumerator: w(x)=1x^0+26x^22+44x^23+183x^24+252x^25+1319x^26+1112x^27+2322x^28+1112x^29+1322x^30+252x^31+175x^32+44x^33+16x^34+6x^36+4x^38+1x^40+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 0.265 seconds.