The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+314x^69+1112x^72+1310x^75+1242x^78+1190x^81+968x^84+348x^87+60x^90+8x^93+4x^96+4x^99

The gray image is a linear code over GF(3) with n=117, k=8 and d=69.
This code was found by Heurico 1.16 in 0.364 seconds.