The generator matrix

 1  0  1  1  1 21  1  1 24
 0  1  7 21  4  1 24 19  1
 0  0  9 18  0  9 18  9  0

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

Homogenous weight enumerator: w(x)=1x^0+48x^15+486x^16+636x^18+972x^19+36x^21+6x^24+2x^27

The gray image is a code over GF(3) with n=81, k=7 and d=45.
This code was found by Heurico 1.16 in 0.103 seconds.