The generator matrix

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

generates a code of length 65 over Z3[X]/(X^3) who´s minimum homogenous weight is 123.

Homogenous weight enumerator: w(x)=1x^0+890x^123+450x^124+666x^125+2226x^126+990x^127+1206x^128+2934x^129+1458x^130+1512x^131+2884x^132+1062x^133+900x^134+1516x^135+414x^136+90x^137+306x^138+70x^141+80x^144+18x^147+8x^150+2x^153

The gray image is a linear code over GF(3) with n=585, k=9 and d=369.
This code was found by Heurico 1.16 in 4.11 seconds.