The generator matrix

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

generates a code of length 36 over Z3[X]/(X^3) who´s minimum homogenous weight is 65.

Homogenous weight enumerator: w(x)=1x^0+222x^65+242x^66+720x^67+1362x^68+1554x^69+1206x^70+3132x^71+2774x^72+1482x^73+3456x^74+1948x^75+792x^76+504x^77+28x^78+126x^79+36x^80+6x^81+48x^82+30x^83+6x^84+6x^86+2x^96

The gray image is a linear code over GF(3) with n=324, k=9 and d=195.
This code was found by Heurico 1.16 in 0.577 seconds.