The generator matrix

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

generates a code of length 72 over Z3[X]/(X^3) who´s minimum homogenous weight is 133.

Homogenous weight enumerator: w(x)=1x^0+222x^133+648x^134+2060x^135+3552x^136+4026x^137+6462x^138+9198x^139+8454x^140+11704x^141+14928x^142+13896x^143+17884x^144+19824x^145+15132x^146+15354x^147+13494x^148+6882x^149+5882x^150+3828x^151+1638x^152+1010x^153+456x^154+198x^155+82x^156+60x^157+90x^158+36x^159+48x^160+54x^161+24x^162+12x^164+8x^165

The gray image is a linear code over GF(3) with n=648, k=11 and d=399.
This code was found by Heurico 1.16 in 75.8 seconds.