The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  0
 0  1  7 26 21  4 20  1 24 19 26  1
 0  0  9  0  0  0 18 18  0 18  9  9
 0  0  0  9  0  0 18  9 18  9  0  9
 0  0  0  0 18  0 18  9  9  0  9 18
 0  0  0  0  0  9  0  9  9 18 18  9

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

Homogenous weight enumerator: w(x)=1x^0+480x^18+972x^20+1296x^21+11664x^22+3888x^23+11340x^24+23328x^25+3888x^26+2168x^27+24x^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 0.719 seconds.