The generator matrix

 1  1  1  1  1  1  1  1  1  2  0  1  1  1  2 12  1  1  1  1  1  1  2  0  1  1  1  1
 0  2 12  6  0  6 12 10  0  6  2 12  6 10 10  2 10  6 10  0 12 10  6  2  6 10  6  0
 0  0  8  0  0  0  0  0  0  8  8  8  0  8  8  8  8  0  8  0  0  0  0  8  0  0  8  0
 0  0  0  8  0  0  0  8  0  8  8  8  0  0  0  8  0  8  0  0  8  0  0  8  8  8  8  0
 0  0  0  0  8  0  0  8  8  0  0  8  8  8  8  8  0  8  8  8  0  0  0  0  0  8  0  0
 0  0  0  0  0  8  0  8  0  8  0  8  0  8  0  0  8  8  8  8  0  0  8  0  8  0  8  0
 0  0  0  0  0  0  8  8  8  0  8  0  8  8  0  8  0  0  0  8  8  8  8  0  8  8  8  0

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

Homogenous weight enumerator: w(x)=1x^0+18x^22+80x^23+77x^24+192x^25+435x^26+880x^27+747x^28+880x^29+428x^30+192x^31+63x^32+80x^33+10x^34+4x^36+2x^38+3x^40+3x^42+1x^44

The gray image is a code over GF(2) with n=224, k=12 and d=88.
This code was found by Heurico 1.16 in 0.122 seconds.