The generator matrix

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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 70.

Homogenous weight enumerator: w(x)=1x^0+168x^70+246x^71+582x^72+1206x^73+1374x^74+1992x^75+3060x^76+2940x^77+4286x^78+5982x^79+5628x^80+8164x^81+9792x^82+9282x^83+11066x^84+13770x^85+12018x^86+13184x^87+14118x^88+10686x^89+11276x^90+10548x^91+6456x^92+5958x^93+5004x^94+3072x^95+2026x^96+1602x^97+666x^98+424x^99+324x^100+114x^101+60x^102+36x^103+6x^104+14x^105+8x^108+4x^111+2x^114+2x^117

The gray image is a linear code over GF(3) with n=129, k=11 and d=70.
This code was found by Heurico 1.16 in 287 seconds.