The generator matrix

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

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+1518x^63+2436x^64+5178x^65+11716x^66+15336x^67+23370x^68+39424x^69+49860x^70+62886x^71+77440x^72+75990x^73+65466x^74+53060x^75+26478x^76+12072x^77+6980x^78+1836x^79+132x^80+106x^81+90x^82+24x^83+24x^84+18x^85

The gray image is a linear code over GF(3) with n=324, k=12 and d=189.
This code was found by Heurico 1.16 in 259 seconds.