The generator matrix

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

generates a code of length 41 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+704x^69+2768x^72+5838x^75+9194x^78+11862x^81+13102x^84+9686x^87+4590x^90+1138x^93+126x^96+22x^99+10x^102+8x^108

The gray image is a linear code over GF(3) with n=123, k=10 and d=69.
This code was found by Heurico 1.16 in 34.4 seconds.