The generator matrix

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

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+58x^63+18x^64+42x^65+342x^66+156x^67+348x^68+1070x^69+528x^70+732x^71+2442x^72+1164x^73+1416x^74+4146x^75+1998x^76+2298x^77+6488x^78+3012x^79+3036x^80+7520x^81+2982x^82+2622x^83+6028x^84+2034x^85+1722x^86+3212x^87+996x^88+768x^89+1100x^90+210x^91+132x^92+268x^93+24x^94+6x^95+84x^96+30x^99+16x^102

The gray image is a linear code over GF(3) with n=120, k=10 and d=63.
This code was found by Heurico 1.16 in 24.5 seconds.