The generator matrix

 1  1  1  1  1  1  3  1  3  1  1  1  1
 0  3 24  0 21 24 21  0 24  0  9  9  0
 0  0  9  0  0  9 18  9  0  9 18 18  0
 0  0  0  9  0 18  9  9 18  0 18 18  0
 0  0  0  0 18 18 18  0 18  9  9 18  0

generates a code of length 13 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+66x^18+120x^21+162x^22+1116x^24+648x^25+1458x^26+2102x^27+648x^28+132x^30+108x^33

The gray image is a code over GF(3) with n=117, k=8 and d=54.
This code was found by Heurico 1.16 in 0.027 seconds.