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  1  1  X  X  X  X  X  X  X  X  3  1
 0  3  0  0  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  3  6  0  0  3  3  0  6  3  6  6  0  3  6  0  3  6  6  6  6  0  0  0  3  3  0  3  6  0  3  3  3
 0  0  3  0  6  3  6  3  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  0  6  0  3  3  0  6  0  0  3  3  6  6  6  6  3  0  0  3  6  0  0  3  6  3  3  6  6  6  3  6  0
 0  0  0  3  6  6  0  6  6  6  3  0  6  0  6  3  3  0  3  3  3  6  3  0  3  6  0  0  3  6  6  6  3  3  3  6  6  0  0  0  3  3  6  6  3  0  0  0  6  3  0  6  0  3  0  3  6  6  3  0  3  3  6  0  0  6

generates a code of length 66 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+126x^129+162x^130+36x^132+324x^133+20x^135+54x^138+4x^144+2x^171

The gray image is a code over GF(3) with n=594, k=6 and d=387.
This code was found by Heurico 1.16 in 0.146 seconds.