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

generates a code of length 73 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 136.

Homogenous weight enumerator: w(x)=1x^0+234x^136+390x^137+114x^138+438x^139+684x^140+228x^141+918x^142+1092x^143+1564x^144+1644x^145+4590x^146+2796x^147+1740x^148+1230x^149+236x^150+318x^151+282x^152+92x^153+258x^154+222x^155+40x^156+168x^157+168x^158+20x^159+78x^160+48x^161+8x^162+24x^163+36x^164+2x^165+12x^166+6x^167+2x^204

The gray image is a code over GF(3) with n=657, k=9 and d=408.
This code was found by Heurico 1.16 in 5.36 seconds.