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

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+194x^120+162x^121+396x^122+540x^123+438x^124+696x^125+968x^126+1074x^127+2190x^128+2306x^129+1590x^130+3066x^131+2022x^132+1116x^133+1032x^134+506x^135+252x^136+192x^137+200x^138+144x^139+108x^140+212x^141+48x^142+66x^143+68x^144+24x^145+12x^146+24x^147+12x^148+12x^149+2x^150+6x^152+2x^153+2x^168

The gray image is a code over GF(3) with n=585, k=9 and d=360.
This code was found by Heurico 1.16 in 4.12 seconds.