The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+78x^22+310x^23+369x^24+504x^25+457x^26+682x^27+472x^28+560x^29+312x^30+186x^31+80x^32+56x^33+17x^34+6x^35+6x^36

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 0.221 seconds.