The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+106x^63+18x^64+42x^65+304x^66+162x^67+126x^68+602x^69+282x^70+330x^71+1164x^72+672x^73+816x^74+1940x^75+738x^76+1008x^77+2436x^78+1038x^79+1014x^80+2258x^81+906x^82+708x^83+1332x^84+396x^85+270x^86+450x^87+138x^88+60x^89+206x^90+24x^91+92x^93+22x^96+18x^99+4x^102

The gray image is a linear code over GF(3) with n=117, k=9 and d=63.
This code was found by Heurico 1.16 in 3.43 seconds.