The generator matrix

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

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+140x^81+114x^82+222x^83+668x^84+306x^85+396x^86+1236x^87+480x^88+522x^89+1578x^90+708x^91+792x^92+1942x^93+990x^94+942x^95+2344x^96+876x^97+834x^98+1690x^99+582x^100+438x^101+986x^102+270x^103+174x^104+240x^105+48x^106+48x^107+64x^108+6x^110+18x^111+12x^114+10x^117+4x^120+2x^123

The gray image is a linear code over GF(3) with n=141, k=9 and d=81.
This code was found by Heurico 1.16 in 3.97 seconds.