The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+77x^22+294x^23+561x^24+632x^25+964x^26+960x^27+1200x^28+1034x^29+935x^30+694x^31+466x^32+188x^33+134x^34+36x^35+10x^36+2x^37+2x^38+2x^40

The gray image is a code over GF(2) with n=112, k=13 and d=44.
This code was found by Heurico 1.11 in 0.389 seconds.