The generator matrix

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

generates a code of length 9 over Z27 who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+36x^15+672x^18+18x^24+2x^27

The gray image is a code over GF(3) with n=81, k=6 and d=45.
This code was found by Heurico 1.16 in 0.000519 seconds.