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

generates a code of length 65 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+128x^126+36x^127+78x^128+126x^129+1554x^130+60x^131+64x^132+24x^133+24x^134+54x^135+6x^136+30x^138+2x^195

The gray image is a code over GF(3) with n=585, k=7 and d=378.
This code was found by Heurico 1.16 in 0.113 seconds.