The generator matrix

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

generates a code of length 54 over Z3[X]/(X^3) who´s minimum homogenous weight is 99.

Homogenous weight enumerator: w(x)=1x^0+102x^99+252x^100+192x^101+568x^102+1086x^103+420x^104+1868x^105+1860x^106+1260x^107+3236x^108+2706x^109+1200x^110+2362x^111+1560x^112+276x^113+238x^114+300x^115+36x^116+84x^117+12x^118+12x^119+16x^120+6x^122+14x^123+4x^126+4x^129+4x^132+2x^135+2x^138

The gray image is a linear code over GF(3) with n=486, k=9 and d=297.
This code was found by Heurico 1.16 in 0.956 seconds.