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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+50x^108+150x^111+234x^114+296x^117+606x^120+1148x^123+14698x^126+1402x^129+508x^132+162x^135+152x^138+82x^141+86x^144+62x^147+26x^150+14x^153+4x^156+2x^171

The gray image is a code over GF(3) with n=567, k=9 and d=324.
This code was found by Heurico 1.16 in 3.23 seconds.