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

generates a code of length 36 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+68x^69+180x^70+108x^72+288x^73+48x^75+18x^76+16x^78+2x^90

The gray image is a code over GF(3) with n=324, k=6 and d=207.
This code was found by Heurico 1.16 in 0.0146 seconds.