The generator matrix

 1  0  1  1  1  4  1  1  4  1  1  4  0  1  1  1  1  6  1  1  1  4  1  1  1  1  1  1
 0  1  1  0  1  1  3  4  1  0  7  1  1  3  6  5  4  1  3  3  3  1  6  3  1  0  0  4
 0  0  2  0  0  0  0  2  2  6  6  6  0  4  2  6  0  4  4  2  4  4  2  4  6  4  2  0
 0  0  0  2  0  2  2  6  2  4  2  4  4  0  6  0  0  6  6  4  0  6  0  6  2  6  2  0
 0  0  0  0  2  4  2  6  6  2  4  0  2  4  4  6  6  2  4  4  0  0  6  2  2  6  2  6

generates a code of length 28 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+50x^22+120x^23+254x^24+322x^25+418x^26+614x^27+625x^28+566x^29+408x^30+284x^31+223x^32+118x^33+47x^34+22x^35+17x^36+2x^37+4x^38+1x^42

The gray image is a code over GF(2) with n=112, k=12 and d=44.
This code was found by Heurico 1.16 in 0.229 seconds.