The generator matrix

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

generates a code of length 36 over Z3[X]/(X^3) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+188x^63+210x^64+696x^65+1320x^66+1572x^67+2910x^68+4188x^69+4950x^70+7428x^71+9266x^72+8142x^73+7812x^74+5214x^75+2436x^76+1428x^77+726x^78+108x^79+114x^80+202x^81+72x^82+24x^83+36x^84+6x^85

The gray image is a linear code over GF(3) with n=324, k=10 and d=189.
This code was found by Heurico 1.16 in 4.68 seconds.