The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 58.

Homogenous weight enumerator: w(x)=1x^0+120x^58+100x^60+228x^61+164x^63+1800x^64+216x^66+3204x^67+200x^69+294x^70+16x^72+180x^73+6x^76+20x^78+6x^81+4x^87+2x^90

The gray image is a linear code over GF(3) with n=297, k=8 and d=174.
This code was found by Heurico 1.16 in 0.895 seconds.