The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  2  0  1  1  2  1  2  1
 0  2  0  0  0  2  6  2  4  0  4  2  2  4  4  0  6  6  6  0  0  2  4  6  4  4  2  0
 0  0  2  0  2  2  2  4  6  2  4  2  6  4  6  6  0  0  2  4  0  2  0  2  2  2  6  2
 0  0  0  2  2  0  2  6  2  4  0  0  6  2  6  4  0  4  2  0  6  2  6  4  0  0  4  2
 0  0  0  0  4  0  0  0  0  0  4  0  4  4  0  4  4  0  4  4  4  0  0  4  4  0  4  0
 0  0  0  0  0  4  4  0  4  4  0  0  0  0  0  4  4  4  4  4  4  0  0  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+40x^22+70x^23+105x^24+182x^25+224x^26+270x^27+319x^28+278x^29+197x^30+146x^31+70x^32+50x^33+47x^34+26x^35+17x^36+2x^37+3x^38+1x^42

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 0.0854 seconds.