The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  1
 0  1 16 26 21  4 20  1 24 19 23  9

generates a code of length 12 over Z27 who´s minimum homogenous weight is 22.

Homogenous weight enumerator: w(x)=1x^0+186x^22+48x^23+92x^24+372x^25+24x^26+4x^27+2x^30

The gray image is a code over GF(3) with n=108, k=6 and d=66.
This code was found by Heurico 1.16 in 0.0005 seconds.