The generator matrix

 1  1  1  1  1  1  1  1  1  3  3  1  1
 0  3  0  0 24 21  3 24 15 21  3 21  0
 0  0  3 24  0 15  3 24 21 15 12 18  9
 0  0  0  9  0 18  0  9  0 18 18  9  0
 0  0  0  0  9  9  0  9  9  0  9  9  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+84x^19+54x^20+258x^21+618x^22+324x^23+2562x^24+1692x^25+6480x^26+4598x^27+1716x^28+432x^29+498x^30+264x^31+30x^33+12x^36

The gray image is a code over GF(3) with n=117, k=9 and d=54.
This code was found by Heurico 1.16 in 0.203 seconds.