The generator matrix

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

generates a code of length 72 over Z3[X]/(X^2) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+348x^134+274x^135+672x^137+422x^138+780x^140+318x^141+708x^143+356x^144+588x^146+264x^147+510x^149+206x^150+324x^152+144x^153+252x^155+120x^156+132x^158+68x^159+42x^161+6x^162+18x^164+4x^165+2x^168+2x^180

The gray image is a linear code over GF(3) with n=216, k=8 and d=134.
This code was found by Heurico 1.16 in 1.85 seconds.