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  X  X  X  0  X  0  X  X  3  X  X  X
 0  X 2X  0 X+6 2X  3 X+6 2X+3  3 X+3 2X+3  3 X+3 2X  0  X 2X+3  6  6 X+6 X+3 2X+6 2X+6  6  X 2X+6  0 X+6 2X  0 X+6 2X  3 X+3 2X+3  3 X+3 2X+3  3  0 X+6 X+3 2X 2X+3  6  6  X  X 2X+6 2X+6  6  X 2X+6 X+6 2X X+6  X 2X  X X+3 2X+3  X X+3 2X+3  0
 0  0  3  3  6  6  6  3  0  3  0  3  0  3  0  6  6  6  0  3  0  6  3  6  6  3  0  0  6  0  6  3  3  3  0  6  6  3  3  0  3  0  6  6  0  0  3  6  3  0  6  6  0  3  6  0  3  0  3  3  0  6  6  3  3  0

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+72x^129+234x^130+84x^132+180x^133+78x^135+72x^136+6x^141+2x^162

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 0.126 seconds.