The generator matrix

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

generates a code of length 39 over Z3[X]/(X^2) who´s minimum homogenous weight is 72.

Homogenous weight enumerator: w(x)=1x^0+420x^72+588x^75+404x^78+316x^81+274x^84+154x^87+28x^90+2x^102

The gray image is a linear code over GF(3) with n=117, k=7 and d=72.
This code was found by Heurico 1.16 in 0.24 seconds.