The generator matrix

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

generates a code of length 63 over Z3[X]/(X^3) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+114x^117+204x^118+408x^119+784x^120+900x^121+978x^122+1412x^123+1500x^124+2082x^125+2266x^126+2154x^127+1932x^128+1836x^129+1356x^130+846x^131+504x^132+174x^133+24x^134+78x^135+18x^136+36x^137+24x^138+12x^139+12x^140+10x^141+8x^144+8x^153+2x^156

The gray image is a linear code over GF(3) with n=567, k=9 and d=351.
This code was found by Heurico 1.16 in 1.17 seconds.