The generator matrix

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

generates a code of length 36 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+382x^66+602x^69+448x^72+302x^75+296x^78+136x^81+18x^84+2x^96

The gray image is a linear code over GF(3) with n=108, k=7 and d=66.
This code was found by Heurico 1.13 in 0.0219 seconds.