The generator matrix

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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 87.

Homogenous weight enumerator: w(x)=1x^0+164x^87+96x^88+132x^89+316x^90+138x^91+162x^92+274x^93+96x^94+36x^95+112x^96+60x^97+78x^98+172x^99+42x^100+54x^101+108x^102+30x^103+18x^104+54x^105+24x^106+6x^107+12x^108+2x^129

The gray image is a linear code over GF(3) with n=141, k=7 and d=87.
This code was found by Heurico 1.13 in 0.0357 seconds.