The generator matrix

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

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+214x^81+162x^82+164x^84+408x^85+222x^87+822x^88+454x^90+822x^91+350x^93+1122x^94+394x^96+690x^97+232x^99+312x^100+58x^102+36x^103+28x^105+38x^108+20x^111+4x^114+6x^117+2x^120

The gray image is a linear code over GF(3) with n=138, k=8 and d=81.
This code was found by Heurico 1.16 in 28 seconds.