The generator matrix

 1  0  1  1  1  1  1  X 2X  1  1  1  1  3  1  1  X  1  1  1  1  1  1  1 2X+3  1  1  1 X+3  1  1  1  1  0  1 X+6  1  1  6  1  1  1  1  1  0  1  3  1  1  1 X+3  1  1  1  1 X+3  1  1 X+3  1  1  1  0  1  1
 0  1  1  8  3 2X+1  8  1  1  8 2X+4 X+3 X+1  1  3 X+8  1 2X+6 2X+5 X+4  3 X+8 X+7 2X+3  1  4 X+2  X  1 X+8 2X+4 X+4 2X+6  1 X+5  1  2 X+5  1  1 X+1  3  X X+8  1 2X+6  1  1 2X+1 X+6  1  8  0 2X+4  6  1 X+7 2X+8  1  7  2 2X+7  6 2X+4 2X+5
 0  0 2X  0  3  0  0  6  0  3  3  6  6 X+6  X 2X+3 2X 2X X+6 X+6 X+3 X+3 2X 2X 2X+6 X+6 X+6 2X+3 X+3 2X+6  X 2X X+3 X+6 2X+6 2X X+3  0 2X+6 2X  6  X  X X+6 2X  3  0  X 2X+6  X 2X 2X+6 2X  X  3 X+6  3  0 X+3  6 2X+6 X+6  6 2X+6  X
 0  0  0  X X+3 X+6  6  X 2X+6 2X+6 2X+3 2X  3 2X+6  6 X+6 2X X+3 2X+3  6 2X+3  3  X  3  0 2X  X 2X+6  3  6 X+3 2X+3 2X X+3 2X+3  X  3  6 2X+3 X+6  6 X+6  3 2X  6 2X+3  X  6 2X X+6 X+3  3 2X+6 2X  3 2X+6 2X+6 2X 2X+3 2X+3 X+3  X  X  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+246x^120+354x^121+906x^122+1506x^123+1854x^124+2496x^125+3624x^126+3726x^127+4530x^128+6406x^129+5706x^130+6930x^131+6184x^132+4728x^133+3732x^134+2926x^135+1338x^136+660x^137+484x^138+114x^139+78x^140+170x^141+102x^142+72x^143+34x^144+30x^145+30x^146+34x^147+18x^148+6x^149+12x^150+12x^151

The gray image is a code over GF(3) with n=585, k=10 and d=360.
This code was found by Heurico 1.16 in 9.36 seconds.