The generator matrix

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

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

Homogenous weight enumerator: w(x)=1x^0+36x^12+72x^15+1968x^18+72x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=81, k=7 and d=36.
This code was found by Heurico 1.16 in 0.00208 seconds.