The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+198x^22+136x^23+488x^24+368x^25+536x^26+512x^27+762x^28+400x^29+378x^30+120x^31+147x^32+36x^34+10x^36+4x^38

The gray image is a code over GF(2) with n=108, k=12 and d=44.
This code was found by Heurico 1.16 in 16.8 seconds.