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

generates a code of length 63 over Z27 who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+56x^126+6x^128+6x^129+6x^131+6x^137

The gray image is a code over GF(3) with n=567, k=4 and d=378.
This code was found by Heurico 1.16 in 0.0772 seconds.