The generator matrix

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

generates a code of length 59 over Z3[X]/(X^3) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+48x^108+444x^110+282x^111+54x^112+1902x^113+862x^114+324x^115+3180x^116+1536x^117+648x^118+4260x^119+1686x^120+432x^121+2886x^122+566x^123+342x^125+88x^126+66x^128+4x^129+36x^131+8x^132+6x^134+6x^135+4x^138+4x^141+4x^144+4x^147

The gray image is a linear code over GF(3) with n=531, k=9 and d=324.
This code was found by Heurico 1.16 in 1.06 seconds.