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

generates a code of length 53 over Z3[X]/(X^2) who´s minimum homogenous weight is 94.

Homogenous weight enumerator: w(x)=1x^0+276x^94+384x^95+206x^96+792x^97+936x^98+246x^99+1098x^100+1332x^101+268x^102+1386x^103+1440x^104+436x^105+1548x^106+1596x^107+372x^108+1500x^109+1392x^110+354x^111+1260x^112+990x^113+216x^114+588x^115+564x^116+52x^117+228x^118+102x^119+24x^120+66x^121+12x^122+4x^123+6x^124+4x^126+2x^129+2x^132

The gray image is a linear code over GF(3) with n=159, k=9 and d=94.
This code was found by Heurico 1.16 in 202 seconds.