The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+144x^22+208x^23+461x^24+672x^25+889x^26+1168x^27+1100x^28+1184x^29+964x^30+656x^31+377x^32+192x^33+110x^34+16x^35+44x^36+4x^38+1x^40+1x^42

The gray image is a code over GF(2) with n=112, k=13 and d=44.
This code was found by Heurico 1.16 in 0.736 seconds.