The generator matrix

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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+138x^81+244x^84+172x^87+80x^90+80x^93+8x^96+4x^99+2x^126

The gray image is a linear code over GF(3) with n=129, k=6 and d=81.
This code was found by Heurico 1.16 in 0.0181 seconds.