The generator matrix

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

generates a code of length 43 over Z3[X]/(X^2) who´s minimum homogenous weight is 85.

Homogenous weight enumerator: w(x)=1x^0+24x^85+36x^86+12x^88+2x^93+4x^96+2x^102

The gray image is a linear code over GF(3) with n=129, k=4 and d=85.
This code was found by Heurico 1.16 in 0.00569 seconds.