The generator matrix

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

generates a code of length 37 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+546x^66+1254x^69+1446x^72+1200x^75+1098x^78+740x^81+252x^84+24x^87

The gray image is a linear code over GF(3) with n=111, k=8 and d=66.
This code was found by Heurico 1.16 in 53.1 seconds.