The generator matrix

 1  0  1  1  1  1  1 21 18  3 15  0
 0  1  1 26 16  0 26  1  1  1  1  1
 0  0 24  0 18 24  6  9 21  3  3  0
 0  0  0  9 18 18  9  0  9  0 18 18

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

Homogenous weight enumerator: w(x)=1x^0+126x^18+576x^20+510x^21+2430x^22+1836x^23+6660x^24+4860x^25+1890x^26+674x^27+72x^29+48x^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 0.121 seconds.