The generator matrix

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

generates a code of length 63 over Z3[X]/(X^3) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+468x^118+1560x^119+2188x^120+2928x^121+4518x^122+4502x^123+4602x^124+5856x^125+6092x^126+4746x^127+5946x^128+5084x^129+3642x^130+3138x^131+1628x^132+1020x^133+768x^134+174x^135+36x^136+36x^137+12x^138+36x^139+30x^140+2x^141+12x^142+18x^143+6x^145

The gray image is a linear code over GF(3) with n=567, k=10 and d=354.
This code was found by Heurico 1.16 in 10 seconds.