The generator matrix

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

generates a code of length 52 over Z3[X]/(X^2) who´s minimum homogenous weight is 92.

Homogenous weight enumerator: w(x)=1x^0+294x^92+310x^93+1200x^95+686x^96+1650x^98+982x^99+2214x^101+1054x^102+2490x^104+1264x^105+2166x^107+986x^108+1686x^110+810x^111+1008x^113+352x^114+342x^116+90x^117+72x^119+20x^120+2x^123+2x^126+2x^129

The gray image is a linear code over GF(3) with n=156, k=9 and d=92.
This code was found by Heurico 1.16 in 5.61 seconds.