The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  3
 0  3  0  0  9 24 18 21 24 18 24 21
 0  0  3  0 18  6 24 21  9  3 24 18
 0  0  0  3 15 18  9 12  6 12 24 18

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

Homogenous weight enumerator: w(x)=1x^0+486x^18+1716x^21+2916x^22+6228x^24+5832x^25+2312x^27+192x^30

The gray image is a code over GF(3) with n=108, k=9 and d=54.
This code was found by Heurico 1.16 in 0.204 seconds.