The generator matrix

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

generates a code of length 9 over Z27 who´s minimum homogenous weight is 9.

Homogenous weight enumerator: w(x)=1x^0+30x^9+84x^12+138x^15+6024x^18+186x^21+78x^24+20x^27

The gray image is a code over GF(3) with n=81, k=8 and d=27.
This code was found by Heurico 1.16 in 0.0102 seconds.