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

generates a code of length 72 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 134.

Homogenous weight enumerator: w(x)=1x^0+366x^134+296x^135+72x^136+732x^137+450x^138+144x^139+1134x^140+1046x^141+2538x^142+1914x^143+1648x^144+3924x^145+1644x^146+1070x^147+612x^148+732x^149+240x^150+300x^152+194x^153+276x^155+96x^156+150x^158+40x^159+30x^161+12x^162+12x^164+2x^165+6x^168+2x^192

The gray image is a code over GF(3) with n=648, k=9 and d=402.
This code was found by Heurico 1.16 in 12.7 seconds.