The generator matrix

 1  0  1  1  1  1  1  X 2X  1  1  1  1  3  1  1  X  1  1  1  1  1 2X+6  1 X+3  1  1  1  1  1  1  0  1  1 X+3  1  1  1 2X+6  1  X  1  1  1  1  1  1  0  1  1  1  1  1  X  1  1  1 X+3  1 2X+3  1  0  X  1  1  1  3 2X+3  3  1  1  1
 0  1  1  8  3 2X+1  8  1  1  8 2X+4 X+3 X+1  1  3 X+8  1 2X+6 2X+5 2X+1 2X+8 X+3  1 2X+4  1 X+2  6 X+1 2X X+2  7  1 X+2 X+4  1 2X  5 X+4  1  3  1 X+1 2X+6 2X+3  3  3  2  1 2X+4  4 X+2 2X+1 X+8  1 2X X+8 2X+8  1 2X+5  1  X  1  1 2X+7  X 2X+4  X  1  6 X+2 2X+3  2
 0  0 2X  0  3  0  0  6  0  3  3  6  6 X+6  X 2X+3 2X 2X X+6 X+3 X+3 2X+3  X 2X+3  X 2X+3 X+6 X+3 2X 2X  X 2X+6 X+6  6  6  X 2X+3 2X+3  0 2X+3 2X+3 2X+6 2X+6  X X+3  X  6  X X+3  X X+6  0  6  3  X  6 2X+6 2X 2X+3 X+6 2X  6 2X+6  0 2X+3 X+6 2X+6 2X+3  X  3 X+3  X
 0  0  0  X X+3 X+6  6  X 2X+6 2X+6 2X+3 2X  3 2X+6  6 X+6 2X X+3 2X+3  3  0 2X+6 X+6  X  6  0 2X+6 2X+3  3 2X+3 X+3  3  X 2X+3 2X+6 X+6  6 2X X+3 X+6  X X+3  3 2X+3 X+3 2X+6 2X X+3  X 2X 2X+6  3 X+6  3  3  0 2X+3  0  0 2X+6  X  0 2X 2X+6 2X 2X+3  0 2X+6 X+3  3  6 X+6

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

Homogenous weight enumerator: w(x)=1x^0+450x^134+680x^135+828x^136+1656x^137+1862x^138+2718x^139+3216x^140+3444x^141+6318x^142+5028x^143+4480x^144+8010x^145+4908x^146+4142x^147+4464x^148+2478x^149+1692x^150+972x^151+840x^152+256x^153+18x^154+180x^155+116x^156+126x^158+66x^159+54x^161+28x^162+6x^164+12x^167

The gray image is a code over GF(3) with n=648, k=10 and d=402.
This code was found by Heurico 1.16 in 12.7 seconds.