The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+47x^22+32x^23+472x^24+332x^25+977x^26+1188x^27+2167x^28+1160x^29+983x^30+312x^31+354x^32+44x^33+99x^34+4x^35+13x^36+6x^38+1x^40

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 0.379 seconds.