The generator matrix

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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+52x^69+152x^72+120x^73+276x^75+552x^76+508x^78+1116x^79+834x^81+1920x^82+1132x^84+3072x^85+1386x^87+3258x^88+1126x^90+2064x^91+560x^93+804x^94+278x^96+216x^97+110x^99+80x^102+44x^105+18x^108+4x^111

The gray image is a linear code over GF(3) with n=129, k=9 and d=69.
This code was found by Heurico 1.16 in 3.83 seconds.