The generator matrix

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

generates a code of length 52 over Z3[X]/(X^3) who´s minimum homogenous weight is 91.

Homogenous weight enumerator: w(x)=1x^0+60x^91+94x^93+168x^94+220x^96+654x^97+764x^99+1074x^100+3232x^102+2562x^103+5150x^105+3048x^106+1194x^108+732x^109+128x^111+294x^112+42x^114+132x^115+36x^117+24x^118+30x^120+20x^123+10x^126+6x^129+4x^132+2x^135+2x^138

The gray image is a linear code over GF(3) with n=468, k=9 and d=273.
This code was found by Heurico 1.16 in 1.75 seconds.