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  X  X  0  X  X  X  X  X  X
 0  X 2X  0 X+3 2X X+3 2X+6  0  6  0  6 X+3 X+6  6 2X 2X+3 X+3  X  6  X  3  X 2X 2X+3 2X+3 2X+3 X+3 2X  X X+3 2X 2X 2X+6 X+3 X+6
 0  0  6  0  6  0  3  3  6  3  6  3  3  0  6  0  3  6  6  0  3  3  0  6  0  6  3  3  0  0  3  0  6  3  6  6
 0  0  0  6  3  6  6  3  3  6  0  3  3  3  6  3  6  0  6  3  0  0  6  3  0  6  0  3  0  6  6  6  0  6  0  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+144x^67+432x^69+378x^70+72x^72+756x^73+180x^76+216x^78+8x^81

The gray image is a code over GF(3) with n=324, k=7 and d=201.
This code was found by Heurico 1.16 in 0.0301 seconds.