The generator matrix

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

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+158x^69+276x^70+484x^72+1260x^73+1210x^75+2898x^76+2010x^78+5256x^79+3452x^81+7776x^82+4488x^84+8982x^85+3978x^87+7380x^88+2530x^90+3924x^91+944x^93+1404x^94+262x^96+210x^97+90x^99+52x^102+18x^105+4x^108+2x^111

The gray image is a linear code over GF(3) with n=126, k=10 and d=69.
This code was found by Heurico 1.16 in 57.1 seconds.