The generator matrix

 1  0  1  1  1  1  1 21  1  1  1  0  1
 0  1  7 26 21  4 20  1 24 19 26  1  0
 0  0  9  0  0  0 18 18  0 18  9  9  0
 0  0  0  9  0  0 18  9 18  9  0  9  0
 0  0  0  0 18  0 18  9  9  0  9 18  0
 0  0  0  0  0  9  0  9  9 18 18  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+2430x^22+972x^23+10530x^24+3888x^25+10692x^26+20954x^27+6804x^28+1296x^29+762x^30+24x^39

The gray image is a code over GF(3) with n=117, k=10 and d=54.
This code was found by Heurico 1.16 in 0.905 seconds.