The generator matrix

 1  0  1  1  1  1 18  1  1  1  3  1
 0  1  1 26  7 18  1 20 16  4 21 22
 0  0 24  0  0 21 21 18  6  9 15 21
 0  0  0  9  0 18  9  0 18 18  0 18
 0  0  0  0  9 18  0 18  0 18  9 18

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

Homogenous weight enumerator: w(x)=1x^0+660x^18+1944x^20+2178x^21+5832x^22+7776x^23+17874x^24+11664x^25+7776x^26+3194x^27+144x^30+6x^36

The gray image is a code over GF(3) with n=108, k=10 and d=54.
This code was found by Heurico 1.16 in 21.8 seconds.