The generator matrix

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

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+900x^61+1392x^62+1236x^63+2718x^64+2412x^65+1972x^66+3354x^67+2112x^68+1236x^69+1584x^70+696x^71+8x^72+18x^73+18x^74+2x^75+12x^76+12x^77

The gray image is a linear code over GF(3) with n=297, k=9 and d=183.
This code was found by Heurico 1.16 in 0.608 seconds.