The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+130x^22+112x^23+677x^24+332x^25+1401x^26+548x^27+1813x^28+616x^29+1321x^30+360x^31+606x^32+76x^33+155x^34+4x^35+39x^36+1x^38

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 0.744 seconds.