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  X  1  1  1  1  1  1  1  1  1  1  1  1  X  X  1  X  X  X  X  X  0  1  1
 0  X  0  0  X  0  X  X 2X  0  0  X  X  0 2X  X 2X 2X  0  X 2X  0  X 2X 2X 2X 2X  0  0  0  X  X  0  X  X 2X  0  0  X  X  0 2X  X  X 2X 2X  0  X  0  X 2X 2X 2X 2X 2X  0  0  0  X  0  X  X 2X  X  0  X
 0  0  X  0 2X  X 2X  X 2X  0  X  X  0 2X  0  0  X  X 2X 2X 2X 2X  X  0  0  X 2X  0  0  X 2X  X  X 2X  0 2X  0  X  X  0 2X  0  X  0  X  X 2X 2X 2X  X  0 2X  0  X 2X  0  X  0 2X  X 2X  0 2X  0  X 2X
 0  0  0  X 2X 2X  0 2X 2X 2X  X  0 2X  0 2X  X  X  0  X  X  X 2X  X  0  X 2X  0  0  X 2X 2X 2X  X  X  X 2X 2X  0  0  0  X  X  X 2X 2X  X  0  0 2X  X  0  0 2X  0  X  X 2X  0  X  0 2X 2X  0  0  X  0

generates a code of length 66 over Z3[X]/(X^2) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+126x^129+36x^132+20x^135+54x^138+4x^144+2x^171

The gray image is a linear code over GF(3) with n=198, k=5 and d=129.
This code was found by Heurico 1.16 in 0.0894 seconds.