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

generates a code of length 66 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+56x^132+6x^134+4x^135+6x^137+2x^138+6x^143

The gray image is a code over GF(3) with n=594, k=4 and d=396.
This code was found by Heurico 1.16 in 0.0923 seconds.