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

generates a code of length 63 over Z3[X]/(X^3) who´s minimum homogenous weight is 119.

Homogenous weight enumerator: w(x)=1x^0+666x^119+808x^120+540x^121+1830x^122+1354x^123+1224x^124+3000x^125+1660x^126+1188x^127+2592x^128+1700x^129+864x^130+1314x^131+414x^132+72x^133+198x^134+92x^135+36x^137+28x^138+60x^140+14x^141+24x^143+2x^144+2x^147

The gray image is a linear code over GF(3) with n=567, k=9 and d=357.
This code was found by Heurico 1.16 in 35.2 seconds.