The generator matrix

 1  0  1  1  1  1  1 2X^2+X  1 2X  1  1  1  1  0  1 2X^2+X  1  1  1  1  1  1  1 2X  1 2X  1 2X^2+X  1  1  1  1  1  1  1  1  1  1 2X^2  1  1  1  1  1 X^2+X  1  1  1  1  1  1  X  1  1  1  1  1  1 X^2+2X  1 X^2+2X  1  1 2X^2
 0  1  1  2 2X^2+X 2X 2X^2+X+2  1 2X+2  1 2X^2+2X+1 X+1 2X^2 2X^2+2  1 2X+1  1 2X^2+X+2  X 2X^2+2X 2X^2+X+1  1  2  0  1 2X+2  1 2X^2+X  1 X+1 2X+2 2X^2+X X+1 X+2 X^2+X X^2+X+2 2X 2X 2X^2+2X  1 X^2+X+1 2X+2 2X^2+2X+2 2X^2+1  0  1 X^2+1 X^2+2X X^2+2X+1 2X^2+2X+2  2 2X^2+X+1 X^2+X X^2+1  X 2X^2+2X+2 X^2 X^2+2 2X^2+X  1  1  1 2X^2+X X^2+2X+1  1
 0  0 2X  0  0 X^2 2X^2 X^2  0 X^2 2X^2+2X 2X 2X^2+X X^2+X X^2+2X 2X^2+X 2X X^2+2X X^2+X 2X^2+X X^2+X  X 2X^2+2X 2X^2+2X 2X^2+2X X^2+2X X^2 X^2+2X 2X^2+2X  0 X^2+2X X^2 2X^2+2X 2X^2+X 2X^2+X X^2 2X^2 2X  X X^2+X X^2 2X^2 X^2+2X  0 X^2+2X  0 2X^2+2X X^2+X X^2+X 2X^2+X 2X 2X^2 2X X^2+X  0  0 2X X^2+X 2X^2+2X X^2+2X  0 2X^2 2X^2+X 2X^2+X 2X^2+X
 0  0  0 X^2  0  0  0 2X^2 2X^2 X^2 2X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2 X^2  0 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2 X^2 2X^2 2X^2 2X^2 X^2  0 2X^2 X^2 X^2 X^2  0 X^2 2X^2 X^2  0 2X^2 X^2  0  0 2X^2 X^2 X^2  0  0  0 2X^2 X^2 X^2 2X^2 2X^2 2X^2 2X^2
 0  0  0  0 2X^2 X^2 X^2  0 2X^2  0 2X^2 X^2 2X^2 2X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2 X^2 2X^2  0 2X^2  0 X^2 X^2  0 2X^2 X^2 X^2 2X^2 2X^2 X^2 2X^2 2X^2 X^2 2X^2  0 X^2 2X^2  0 2X^2 X^2  0 X^2 X^2 2X^2  0  0 2X^2  0 X^2  0 X^2 2X^2  0 X^2  0

generates a code of length 65 over Z3[X]/(X^3) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+454x^120+180x^121+810x^122+1810x^123+1530x^124+2628x^125+3360x^126+3654x^127+5526x^128+5074x^129+6174x^130+7668x^131+5070x^132+4734x^133+4554x^134+2770x^135+1152x^136+684x^137+604x^138+72x^139+256x^141+230x^144+42x^147+6x^150+2x^153+4x^159

The gray image is a linear code over GF(3) with n=585, k=10 and d=360.
This code was found by Heurico 1.16 in 10.2 seconds.