The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 66.

Homogenous weight enumerator: w(x)=1x^0+42x^66+94x^69+140x^72+94x^75+1536x^78+60x^81+64x^84+54x^87+50x^90+34x^93+8x^96+8x^99+2x^117

The gray image is a linear code over GF(3) with n=117, k=7 and d=66.
This code was found by Heurico 1.16 in 0.078 seconds.