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

generates a code of length 36 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 68.

Homogenous weight enumerator: w(x)=1x^0+162x^68+108x^69+288x^70+318x^71+552x^72+324x^73+270x^74+30x^75+36x^77+24x^78+36x^79+6x^80+12x^81+18x^83+2x^99

The gray image is a code over GF(3) with n=324, k=7 and d=204.
This code was found by Heurico 1.16 in 18.4 seconds.