The generator matrix

 1  1  1  1  1  1  1  1  1  3  1  1
 0  9  0  0  9  0  9  9 18  9  0  0
 0  0  9  0 18  9 18  9 18  0  0  0
 0  0  0  9 18 18  0 18 18  9  0  0

generates a code of length 12 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+24x^18+54x^22+522x^24+108x^25+2x^27+18x^33

The gray image is a code over GF(3) with n=108, k=6 and d=54.
This code was found by Heurico 1.16 in 0.000839 seconds.