The generator matrix

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

generates a code of length 65 over Z3[X]/(X^3) who´s minimum homogenous weight is 124.

Homogenous weight enumerator: w(x)=1x^0+780x^124+1572x^125+1422x^126+1986x^127+2250x^128+1410x^129+1548x^130+2268x^131+1316x^132+1302x^133+1362x^134+594x^135+840x^136+630x^137+186x^138+180x^139+10x^141+6x^142+18x^143+2x^144

The gray image is a linear code over GF(3) with n=585, k=9 and d=372.
This code was found by Heurico 1.16 in 1.52 seconds.