The generator matrix

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

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+976x^81+3408x^84+5922x^87+9224x^90+10824x^93+11994x^96+9510x^99+5286x^102+1524x^105+346x^108+30x^111+4x^117

The gray image is a linear code over GF(3) with n=141, k=10 and d=81.
This code was found by Heurico 1.16 in 225 seconds.