The generator matrix

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

generates a code of length 73 over Z3[X]/(X^3) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+58x^132+6x^133+66x^134+236x^135+102x^136+276x^137+716x^138+120x^139+432x^140+886x^141+228x^142+1236x^143+3814x^144+336x^145+1740x^146+3560x^147+228x^148+1248x^149+2258x^150+300x^151+630x^152+424x^153+102x^154+144x^155+282x^156+30x^157+48x^158+66x^159+6x^160+12x^161+22x^162+18x^165+18x^168+8x^171+12x^174+8x^177+2x^180+2x^183+2x^189

The gray image is a linear code over GF(3) with n=657, k=9 and d=396.
This code was found by Heurico 1.16 in 2.72 seconds.