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

generates a code of length 63 over Z3[X]/(X^3) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+762x^120+1092x^121+2040x^122+1746x^123+1962x^124+1764x^125+2302x^126+1596x^127+1500x^128+1276x^129+948x^130+852x^131+856x^132+540x^133+306x^134+98x^135+6x^136+12x^137+2x^138+12x^139+6x^140+2x^141+2x^144

The gray image is a linear code over GF(3) with n=567, k=9 and d=360.
This code was found by Heurico 1.16 in 0.898 seconds.