The generator matrix

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

generates a code of length 33 over Z3[X]/(X^3) who´s minimum homogenous weight is 61.

Homogenous weight enumerator: w(x)=1x^0+108x^61+432x^62+672x^63+768x^64+750x^65+1218x^66+744x^67+756x^68+584x^69+318x^70+138x^71+14x^72+18x^74+12x^75+6x^76+12x^77+8x^78+2x^87

The gray image is a linear code over GF(3) with n=297, k=8 and d=183.
This code was found by Heurico 1.16 in 0.0633 seconds.