The generator matrix

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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 96.

Homogenous weight enumerator: w(x)=1x^0+158x^96+120x^97+228x^98+584x^99+204x^100+210x^101+704x^102+276x^103+264x^104+650x^105+300x^106+264x^107+496x^108+246x^109+222x^110+422x^111+180x^112+180x^113+388x^114+102x^115+66x^116+162x^117+18x^118+18x^119+60x^120+12x^121+6x^122+10x^123+6x^126+2x^135+2x^138

The gray image is a linear code over GF(3) with n=159, k=8 and d=96.
This code was found by Heurico 1.16 in 0.502 seconds.