The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+156x^66+264x^67+228x^68+412x^69+690x^70+414x^71+772x^72+1116x^73+714x^74+1164x^75+1800x^76+870x^77+1448x^78+2046x^79+1038x^80+1304x^81+1662x^82+744x^83+854x^84+960x^85+306x^86+320x^87+180x^88+60x^89+78x^90+30x^91+20x^93+16x^96+14x^99+2x^102

The gray image is a linear code over GF(3) with n=117, k=9 and d=66.
This code was found by Heurico 1.16 in 3.13 seconds.