The generator matrix

 1  1  1  1  1  1  3  1  1  3  1  3  1
 0  3 24  0 21 24 21  0 21 24 24 21  0
 0  0  9  0  0  0 18  0  9 18  9  9  0
 0  0  0  9  0  0 18  9 18  0 18  9  0
 0  0  0  0 18  0 18 18 18 18  0 18  0
 0  0  0  0  0  9  0 18 18  9  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+186x^18+162x^20+348x^21+486x^22+972x^23+1782x^24+1944x^25+6318x^26+3458x^27+1944x^28+1296x^29+762x^30+24x^39

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 0.215 seconds.