The generator matrix

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

generates a code of length 10 over Z27 who´s minimum homogenous weight is 18.

Homogenous weight enumerator: w(x)=1x^0+114x^18+486x^20+108x^21+20x^27

The gray image is a code over GF(3) with n=90, k=6 and d=54.
This code was found by Heurico 1.16 in 0.000587 seconds.