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  0  X  1  1  X 2X  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 2X+1 2X  1  1 2X X+2  1  1  0
 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 2X  2 X+1  1  0 X+1 2X+1
 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  0  1 X+2  X 2X+2 X+1 X+2 X+1 2X
 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 2X  X  0 2X 2X  X  X  0  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+390x^131+312x^132+1122x^134+720x^135+1686x^137+932x^138+1836x^140+878x^141+2034x^143+1014x^144+1752x^146+934x^147+1866x^149+710x^150+1260x^152+588x^153+774x^155+342x^156+294x^158+92x^159+84x^161+26x^162+18x^164+4x^165+6x^167+6x^168+2x^174

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 9.42 seconds.