The generator matrix

 1  1  1  1  1  3  1  3  1
 0  3 24  0 21 21 24 21  0
 0  0  9  0  0 18 18  9  0
 0  0  0  9  0 18  0  9 18
 0  0  0  0 18 18  9  0  9

generates a code of length 9 over Z27 who´s minimum homogenous weight is 12.

Homogenous weight enumerator: w(x)=1x^0+54x^12+324x^14+180x^15+1296x^17+3156x^18+1296x^20+216x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=81, k=8 and d=36.
This code was found by Heurico 1.16 in 0.0126 seconds.