The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 63.

Homogenous weight enumerator: w(x)=1x^0+302x^63+1048x^66+1232x^69+1414x^72+1330x^75+844x^78+342x^81+34x^84+10x^87+2x^90+2x^96

The gray image is a linear code over GF(3) with n=108, k=8 and d=63.
This code was found by Heurico 1.16 in 0.336 seconds.