The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  4  1  2  4  1  4  1  1  2  0  2  1  0
 0  2  0  2  0  0  2  6  0  4  2  6  0  6  2  2  4  2  2  6  2  4  0  4  0  2  4  2
 0  0  2  2  0  6  2  0  4  2  2  0  4  6  2  6  6  2  6  4  2  6  6  2  2  2  2  0
 0  0  0  4  0  0  0  4  4  4  0  0  4  4  4  4  4  0  0  0  0  0  0  4  4  4  4  0
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  4  4  4  0  0  0  4  0  4  4  0  0
 0  0  0  0  0  4  0  0  0  4  4  4  4  0  4  0  4  0  4  0  0  4  4  0  0  0  4  0
 0  0  0  0  0  0  4  4  4  4  4  0  4  0  0  0  4  0  0  4  0  4  4  4  0  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+42x^22+80x^23+120x^24+184x^25+215x^26+272x^27+279x^28+248x^29+219x^30+144x^31+98x^32+72x^33+29x^34+16x^35+13x^36+8x^37+7x^38+1x^40

The gray image is a code over GF(2) with n=112, k=11 and d=44.
This code was found by Heurico 1.16 in 0.121 seconds.