The generator matrix

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

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+600x^65+1222x^66+1692x^67+4044x^68+4046x^69+5184x^70+7524x^71+7750x^72+8532x^73+7872x^74+4916x^75+2574x^76+2160x^77+740x^78+126x^80+34x^81+24x^83+6x^86+2x^96

The gray image is a linear code over GF(3) with n=324, k=10 and d=195.
This code was found by Heurico 1.16 in 3.86 seconds.