The generator matrix

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

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+62x^66+102x^68+200x^69+396x^71+278x^72+726x^74+344x^75+990x^77+446x^78+1266x^80+402x^81+678x^83+204x^84+204x^86+140x^87+12x^89+46x^90+34x^93+24x^96+2x^99+4x^102

The gray image is a linear code over GF(3) with n=117, k=8 and d=66.
This code was found by Heurico 1.16 in 0.421 seconds.