The generator matrix

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

generates a code of length 47 over Z3[X]/(X^2) who´s minimum homogenous weight is 82.

Homogenous weight enumerator: w(x)=1x^0+180x^82+174x^83+370x^84+660x^85+528x^86+858x^87+1110x^88+564x^89+1058x^90+1584x^91+708x^92+1208x^93+1608x^94+870x^95+1216x^96+1584x^97+774x^98+1014x^99+1278x^100+480x^101+542x^102+612x^103+186x^104+262x^105+132x^106+84x^107+20x^108+6x^110+4x^111+4x^114+4x^117

The gray image is a linear code over GF(3) with n=141, k=9 and d=82.
This code was found by Heurico 1.16 in 5.06 seconds.