The generator matrix

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

generates a code of length 40 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+304x^69+228x^70+300x^71+986x^72+474x^73+696x^74+1638x^75+762x^76+726x^77+1990x^78+828x^79+762x^80+2334x^81+864x^82+1002x^83+2124x^84+780x^85+660x^86+1096x^87+330x^88+216x^89+370x^90+102x^91+12x^92+72x^93+6x^94+12x^96+8x^99

The gray image is a linear code over GF(3) with n=120, k=9 and d=69.
This code was found by Heurico 1.16 in 3.82 seconds.