The generator matrix

 1  0  1  1  1  1  1  0  1  0  1  1  1  1  1  0  X  1  1  0  1  1  1  X  1  1  1  1  1  1  0  1  1  1  1 2X  1  1  1  X
 0  1  1  2  0  1  2  1 2X+1  1  0  2 X+2 2X+1  0  1  1  0  2  1 2X+1  2 2X+1  1  2  X 2X+1 2X  X  X  1  1 X+1 2X+2 2X  1 2X+2  0  0  X
 0  0 2X  0  0  0  0  0  0  0 2X  X  X 2X 2X 2X 2X 2X 2X  X  0  X  0  0 2X  X  0  X 2X  0 2X  0 2X 2X  X  0  X  0  X 2X
 0  0  0  X  0  0  0  X 2X  X  0 2X  X 2X 2X  0 2X 2X  0 2X  X  X 2X  X 2X  0  X  X 2X  X  X  0  0  0  0 2X  0  X  X  0
 0  0  0  0  X  0  X  X  X  X  X 2X  0  X  X  0 2X  0  0  0  0 2X 2X 2X 2X 2X 2X 2X 2X 2X  X 2X  X  X  0  0  0  0  0 2X
 0  0  0  0  0 2X 2X  0 2X  X  0 2X  X  X 2X 2X  X  X 2X  0 2X  0  X  0 2X  0 2X  X  X  X  0  X  0 2X  X  X  0 2X  X 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+194x^69+532x^72+928x^75+1268x^78+1622x^81+1136x^84+622x^87+174x^90+32x^93+20x^96+20x^99+10x^102+2x^105

The gray image is a linear code over GF(3) with n=120, k=8 and d=69.
This code was found by Heurico 1.16 in 0.44 seconds.