The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+98x^18+108x^20+158x^21+1134x^22+432x^23+1616x^24+2268x^25+432x^26+270x^27+40x^30+4x^33

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 0.0142 seconds.