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  3  1  X  6  1  1  1  1  1
 0  X  0  0  0 2X X+3 2X+3  X 2X+3  3  3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6  0 X+6 2X 2X+3 2X+6  3  3 2X+3 2X+6 X+3 2X+3 2X+6  0  X X+6 X+6  6 2X+3  X X+3  0 2X 2X+3  X  0 2X  3  3  X  3 2X+6  6  6  X X+3  X 2X 2X+3  0  6 X+6  X  6 2X  6  0 2X  6 2X+6  6 2X+3  0 X+3  X  X 2X  3 2X+3 2X X+3 2X+3  0
 0  0  X  0  6  3  6  3  0  0 X+3 2X+6 2X+6 2X+3 X+6  X 2X  X 2X+6  X 2X+6 2X+6 X+3 X+3 2X 2X+6 X+6 2X X+6 2X  6 X+6 X+6 X+3 2X+6 2X+3  X 2X+3  3  6 2X+3  0  0 X+3 2X+6 2X  3  3 X+6 2X+3  X X+6 2X+3  6 X+3  X  X 2X+3  3 2X  3  6  0 X+3 2X+3  X  6 X+3  0 X+6  6  0 2X+3 2X X+3  6  X  3 2X  0  3  6
 0  0  0  X 2X+3  0 2X X+6  X 2X 2X+3  6  3  0  6 X+6 X+6  3 2X+6 2X 2X 2X+6 2X X+6 X+6 X+3 X+3 2X+3 2X+3 2X  X  3 2X+3 X+6 X+6  3  X  3 X+3  6 X+3 2X+6 X+6  0  3  X 2X  6  6 2X  3 2X 2X+3 2X+6 2X X+3  X 2X+3 X+3 X+6  6  0 2X+3  3  X  3  3  X X+6 2X+3  0 2X X+3  X  6 2X X+3  3  6  X  X  0

generates a code of length 82 over Z9[X]/(X^2+3,3X) 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 code over GF(3) with n=738, k=9 and d=459.
This code was found by Heurico 1.16 in 2.77 seconds.