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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 90.

Homogenous weight enumerator: w(x)=1x^0+304x^90+90x^93+180x^96+94x^99+54x^102+2x^108+2x^117+2x^126

The gray image is a linear code over GF(3) with n=141, k=6 and d=90.
This code was found by Heurico 1.16 in 0.0279 seconds.