The generator matrix

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

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+658x^81+2004x^84+2938x^87+3538x^90+3820x^93+3316x^96+2236x^99+976x^102+172x^105+20x^108+4x^111

The gray image is a linear code over GF(3) with n=138, k=9 and d=81.
This code was found by Heurico 1.16 in 7.14 seconds.