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

generates a code of length 46 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+48x^87+180x^88+78x^90+90x^91+54x^93+126x^94+36x^96+54x^97+16x^99+36x^100+6x^105+2x^108+2x^126

The gray image is a linear code over GF(3) with n=138, k=6 and d=87.
This code was found by Heurico 1.16 in 0.0212 seconds.