The generator matrix

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

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+38x^69+6x^70+114x^71+150x^72+390x^73+552x^74+282x^75+1260x^76+1644x^77+502x^78+2232x^79+2766x^80+796x^81+4110x^82+4434x^83+1150x^84+5634x^85+6162x^86+1484x^87+5796x^88+5484x^89+1126x^90+4254x^91+3444x^92+522x^93+1908x^94+1320x^95+258x^96+606x^97+276x^98+100x^99+48x^100+48x^101+90x^102+40x^105+14x^108+8x^111

The gray image is a linear code over GF(3) with n=129, k=10 and d=69.
This code was found by Heurico 1.16 in 27.5 seconds.