The generator matrix

 1  0  1  1  1  1  1  1  3  1  1  0  1 X+3  1  1  1  1 2X+3 X+3  1  1  1  1  1  1 2X  1 2X  1  1  1  1  1  1  1
 0  1  1  8  3  2  0 2X+1  1  7  8  1  4  1 X+3 X+2 2X+6 2X+8  1  1 2X+2 2X+6 2X+4  4 2X+8 X+3  1  X  1 X+7 2X+1 2X+3 2X+1  8  7 2X+8
 0  0 2X  6 X+6 X+3 2X+6  X  X 2X+3 2X+6 2X+6  3  6 2X+3 2X+6  6  3 X+6 2X X+3  X  3 X+6 2X  0  0 X+6 2X  X 2X X+3 X+6  0 2X+6 2X+6

generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 67.

Homogenous weight enumerator: w(x)=1x^0+222x^67+324x^68+862x^69+612x^70+894x^71+976x^72+552x^73+756x^74+806x^75+354x^76+126x^77+8x^78+18x^79+6x^80+16x^81+24x^82+4x^84

The gray image is a code over GF(3) with n=324, k=8 and d=201.
This code was found by Heurico 1.16 in 0.0561 seconds.