The generator matrix

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

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+54x^93+48x^95+270x^96+120x^97+120x^98+420x^99+192x^100+198x^101+512x^102+222x^103+300x^104+720x^105+306x^106+300x^107+638x^108+342x^109+288x^110+554x^111+210x^112+138x^113+272x^114+60x^115+66x^116+92x^117+6x^118+50x^120+26x^123+8x^126+18x^129+8x^132+2x^135

The gray image is a linear code over GF(3) with n=159, k=8 and d=93.
This code was found by Heurico 1.16 in 0.59 seconds.