The generator matrix

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

generates a code of length 49 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+624x^84+2544x^87+5132x^90+7920x^93+10254x^96+11932x^99+10534x^102+6642x^105+2702x^108+682x^111+48x^114+18x^117+4x^120+6x^123+4x^126+2x^135

The gray image is a linear code over GF(3) with n=147, k=10 and d=84.
This code was found by Heurico 1.16 in 58.6 seconds.