The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  3  3  3  3  3  3  3  3  3  3  3  3  9  3  3  3  3  3
 0  9  0  0  0  0  9 18 18  0  0  9  9  9  9  9  9  9  0 18  0 18  0 18  0  9 18  9 18 18  0  0 18  9  0  9  9  9  9  0  0  0  9  0  9  0  9  9  9  9  9 18  9  9 18  0 18  9  0 18  9  0  0
 0  0  9  0  0  9 18  0 18  0  9  9 18 18  0  9  0  9  9  9  9  0  0 18 18  9  9 18  0 18  0  9  9  0 18 18  0  9  0 18 18 18  9 18 18  0 18 18  9  9  0  0  9 18  0  0  0 18  9  9  0  0 18
 0  0  0  9  0 18 18  9  0  9  9  0  0  9 18  9  9 18 18  0  0 18 18 18 18 18  9  9  0  9 18  9 18 18  9 18  9  0  0  0  9  0  9 18  0  0 18  9  0 18 18  0  9  0 18  0  0 18 18  0  9  9  0
 0  0  0  0  9 18 18 18 18 18  0 18  0  0 18 18  0  9  0  0 18 18  9 18  9 18  0 18  0  0 18 18  9  0  0  0 18  0  9  9 18 18  9  0  9  9 18  9  9 18  0 18 18 18 18 18  0 18  9  9  9 18  9

generates a code of length 63 over Z27 who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+168x^120+232x^123+486x^124+66x^126+972x^127+122x^129+82x^132+14x^135+18x^138+6x^141+6x^147+2x^150+10x^156+2x^159

The gray image is a code over GF(3) with n=567, k=7 and d=360.
This code was found by Heurico 1.16 in 8.38 seconds.