The generator matrix

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

generates a code of length 50 over Z3[X]/(X^2) who´s minimum homogenous weight is 84.

Homogenous weight enumerator: w(x)=1x^0+882x^84+3782x^87+9444x^90+16914x^93+26240x^96+34036x^99+35640x^102+27986x^105+15286x^108+5456x^111+1218x^114+224x^117+20x^120+12x^123+4x^126+2x^129

The gray image is a linear code over GF(3) with n=150, k=11 and d=84.
This code was found by Heurico 1.16 in 703 seconds.