The generator matrix

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

generates a code of length 42 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+846x^69+4350x^72+9818x^75+19742x^78+31406x^81+39518x^84+36354x^87+22656x^90+9864x^93+2292x^96+252x^99+34x^102+4x^105+6x^108+4x^111

The gray image is a linear code over GF(3) with n=126, k=11 and d=69.
This code was found by Heurico 1.16 in 525 seconds.