The generator matrix

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

generates a code of length 38 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+856x^66+2268x^69+3224x^72+3760x^75+4398x^78+3466x^81+1312x^84+354x^87+32x^90+12x^93

The gray image is a linear code over GF(3) with n=114, k=9 and d=66.
This code was found by Heurico 1.16 in 49.6 seconds.