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  1  1  1  1  1  1  1  1  1  3  3  3  0  3  3  3  3  3  0  9  9  3
 0  3 24  0 21 24  9 21  6  9 12  6  9 12 24  0  3  6 18 18 21 12 15 15 18  3 15  0 21 24  0 21 24  9 12  6  9 12  6  9  0 21 12 24  6 18 18  3  3 18  3 15 15 15 21 24 21  3 24  6 12 12 15  3  3  3  0
 0  0  9  9 18 18 18  9  0  9  0  9  0  9  0 18 18 18  0  9  0 18  9 18 18  9  0  0 18  0 18  9  9  9  0 18 18  9  9  0  9  0 18 18  0  0  9 18  9 18  0  0  9 18 18  0  9  0  9 18  0  9 18 18 18  0  0

generates a code of length 67 over Z27 who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+348x^132+270x^135+90x^138+12x^141+6x^144+2x^162

The gray image is a code over GF(3) with n=603, k=6 and d=396.
This code was found by Heurico 1.16 in 0.136 seconds.