The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+42x^63+18x^64+102x^66+78x^67+248x^69+408x^70+378x^72+1188x^73+806x^75+2106x^76+1408x^78+2982x^79+1532x^81+3294x^82+1170x^84+2124x^85+474x^87+768x^88+150x^90+144x^91+126x^93+12x^94+82x^96+30x^99+10x^102+2x^105

The gray image is a linear code over GF(3) with n=120, k=9 and d=63.
This code was found by Heurico 1.16 in 3.43 seconds.