The generator matrix

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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+360x^72+2206x^75+4582x^78+8260x^81+10996x^84+12468x^87+11254x^90+6416x^93+1992x^96+448x^99+34x^102+20x^105+8x^108+4x^111

The gray image is a linear code over GF(3) with n=129, k=10 and d=72.
This code was found by Heurico 1.16 in 28.8 seconds.