The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  2  2  2  1  1  4  2  2  2  4  4
 0  2  0  0  0  0  0  0  0  2  6  4  2  4  6  2  6  4  2  4  2  2  6  4  4  4  2
 0  0  2  0  0  4  6  2  2  2  2  6  4  4  0  2  0  2  2  4  6  6  0  6  6  2  6
 0  0  0  2  0  6  6  6  4  0  0  0  0  4  2  6  2  4  2  2  2  0  6  6  4  0  4
 0  0  0  0  2  2  4  6  2  0  2  2  6  0  4  2  2  4  2  2  0  4  2  6  6  2  2

generates a code of length 27 over Z8 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+190x^22+28x^23+225x^24+132x^25+376x^26+200x^27+341x^28+120x^29+240x^30+28x^31+98x^32+4x^33+56x^34+7x^36+2x^38

The gray image is a code over GF(2) with n=108, k=11 and d=44.
This code was found by Heurico 1.16 in 10.9 seconds.