The generator matrix

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

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+58x^69+18x^70+66x^71+210x^72+84x^73+84x^74+194x^75+96x^76+120x^77+318x^78+162x^79+96x^80+216x^81+96x^82+78x^83+144x^84+30x^85+42x^86+32x^87+24x^90+2x^93+6x^96+8x^99+2x^102

The gray image is a linear code over GF(3) with n=117, k=7 and d=69.
This code was found by Heurico 1.16 in 0.0487 seconds.