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

generates a code of length 69 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+220x^135+1800x^138+108x^141+56x^144+2x^207

The gray image is a code over GF(3) with n=621, k=7 and d=405.
This code was found by Heurico 1.16 in 0.14 seconds.