The generator matrix

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

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+54x^139+144x^141+174x^142+24x^144+192x^145+18x^148+70x^150+42x^151+6x^154+2x^177+2x^189

The gray image is a linear code over GF(3) with n=216, k=6 and d=139.
This code was found by Heurico 1.16 in 0.0611 seconds.