The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  1  1
 0  9  0  0  0  9  0 18 18  9  9  0  0
 0  0  9  0  0 18  9  0 18 18  9  0  0
 0  0  0  9  0 18  9 18  0  9 18  0  0
 0  0  0  0  9  9  9  9 18  0 18  0  0

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

Homogenous weight enumerator: w(x)=1x^0+60x^18+54x^22+72x^24+216x^25+1458x^26+20x^27+216x^28+90x^33

The gray image is a code over GF(3) with n=117, k=7 and d=54.
This code was found by Heurico 1.16 in 0.0046 seconds.