The generator matrix

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

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 131.

Homogenous weight enumerator: w(x)=1x^0+366x^131+338x^132+1146x^134+686x^135+1692x^137+866x^138+1866x^140+986x^141+2034x^143+1012x^144+1758x^146+872x^147+1680x^149+738x^150+1422x^152+640x^153+762x^155+290x^156+312x^158+76x^159+60x^161+40x^162+18x^164+6x^165+6x^167+4x^168+6x^171

The gray image is a linear code over GF(3) with n=216, k=9 and d=131.
This code was found by Heurico 1.16 in 7.59 seconds.