The generator matrix

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

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+208x^84+394x^87+460x^90+404x^93+452x^96+182x^99+34x^102+28x^105+12x^108+2x^111+8x^114+2x^117

The gray image is a linear code over GF(3) with n=138, k=7 and d=84.
This code was found by Heurico 1.16 in 0.0913 seconds.