The generator matrix

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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 81.

Homogenous weight enumerator: w(x)=1x^0+72x^81+6x^82+42x^83+260x^84+54x^85+150x^86+364x^87+186x^88+168x^89+530x^90+246x^91+282x^92+680x^93+402x^94+336x^95+764x^96+354x^97+264x^98+508x^99+180x^100+162x^101+282x^102+30x^103+54x^104+90x^105+42x^108+18x^111+20x^114+8x^117+4x^123+2x^129

The gray image is a linear code over GF(3) with n=141, k=8 and d=81.
This code was found by Heurico 1.16 in 0.488 seconds.