The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+624x^18+2268x^21+13446x^24+3176x^27+162x^30+6x^36

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 19.1 seconds.