The generator matrix

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

generates a code of length 38 over Z3[X]/(X^2) who´s minimum homogenous weight is 69.

Homogenous weight enumerator: w(x)=1x^0+308x^69+436x^72+432x^75+440x^78+426x^81+90x^84+38x^87+10x^90+6x^96

The gray image is a linear code over GF(3) with n=114, k=7 and d=69.
This code was found by Heurico 1.16 in 0.0814 seconds.