The generator matrix

 1  1  1  1  1  1  1  1  1
 0  3  0  0 21  3 24 15 24
 0  0  3 24  6  3  0 21 24
 0  0  0  9  0  9  0 18 18
 0  0  0  0  9 18  9 18  0

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

Homogenous weight enumerator: w(x)=1x^0+252x^12+1368x^15+16224x^18+1800x^21+36x^24+2x^27

The gray image is a code over GF(3) with n=81, k=9 and d=36.
This code was found by Heurico 1.16 in 0.0933 seconds.