The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 93.

Homogenous weight enumerator: w(x)=1x^0+286x^93+1326x^96+2288x^99+2838x^102+3460x^105+3734x^108+3064x^111+1770x^114+738x^117+122x^120+30x^123+10x^126+6x^129+2x^132+6x^135+2x^138

The gray image is a linear code over GF(3) with n=159, k=9 and d=93.
This code was found by Heurico 1.16 in 5.04 seconds.