The generator matrix

 1  1  1  1  1  1  1  3  3  1  1  1
 0  3 24  0 21 24  0 21 24  0  9  9
 0  0  9  0  0  9  9 18  0  9 18 18
 0  0  0  9  0 18  9  9 18  0 18 18
 0  0  0  0 18 18  0 18 18  9  9 18

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

Homogenous weight enumerator: w(x)=1x^0+108x^18+162x^20+168x^21+972x^22+648x^23+1638x^24+1944x^25+648x^26+152x^27+120x^30

The gray image is a code over GF(3) with n=108, k=8 and d=54.
This code was found by Heurico 1.16 in 0.0269 seconds.