The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+60x^18+438x^20+210x^21+1116x^23+3096x^24+1314x^26+218x^27+48x^29+60x^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 0.0249 seconds.