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

generates a code of length 82 over Z3[X]/(X^3) who´s minimum homogenous weight is 153.

Homogenous weight enumerator: w(x)=1x^0+110x^153+204x^154+246x^155+444x^156+372x^157+420x^158+678x^159+870x^160+1008x^161+2184x^162+2112x^163+1584x^164+3828x^165+2094x^166+1110x^167+730x^168+270x^169+204x^170+200x^171+126x^172+150x^173+100x^174+132x^175+90x^176+126x^177+72x^178+30x^179+56x^180+42x^181+18x^182+44x^183+12x^184+2x^186+12x^187+2x^225

The gray image is a linear code over GF(3) with n=738, k=9 and d=459.
This code was found by Heurico 1.16 in 2.69 seconds.