The generator matrix

 1  0  1  1  1  1  1 X+3  1  1  1 2X  1  1  1  6  1  1  1 X+6  1  1  1 2X+6  1  1  1  3  1  1  1  X  1  1  1 2X+3  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1 X+3  6 X+6 2X 2X+6  1  1
 0  1 2X+4  8 X+3 X+1 X+2  1 2X  4 2X+8  1  6 2X+7  5  1 X+6 X+7 X+5  1 2X+6  7 2X+5  1  3 2X+1  2  1  X X+4 X+8  1 2X+3  1 2X+2  1  0 2X+4  8 X+3 X+1 X+2 2X  4 2X+8  6 X+6 2X+7 X+7 2X+6  7  5 X+5 2X+5  1  3  X 2X+3  1  1  1  1  1 2X+1 X+4

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+264x^129+324x^130+132x^132+2x^141+2x^144+4x^150

The gray image is a code over GF(3) with n=585, k=6 and d=387.
This code was found by Heurico 1.16 in 0.0629 seconds.