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  X  1  0  1  3
 0  X  0  0 2X X+3 2X+3  X 2X  6  X 2X+6  3 2X+3 X+6 X+3  X 2X+3 2X X+3 2X  3 X+3 2X+3  0 X+3  3  3 2X+6 X+6  3 X+3  3  6 2X+3  X
 0  0  X 2X  6 2X+3 X+6  X 2X+3  3 X+6  0 X+3 X+6 2X+6  6  6 2X+3  6 2X  X 2X+6 X+3 2X  0 2X+3 2X  X 2X+3  6 2X+6 2X  3  X  6 X+6
 0  0  0  6  0  0  3  6  3  3  3  6  3  6  3  6  3  6  3  6  0  3  0  0  6  3  0  6  6  6  0  6  0  3  3  3

generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+384x^66+162x^68+564x^69+486x^70+648x^71+1966x^72+972x^73+648x^74+324x^75+210x^78+182x^81+12x^84+2x^99

The gray image is a code over GF(3) with n=324, k=8 and d=198.
This code was found by Heurico 1.16 in 0.274 seconds.