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

generates a code of length 71 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+410x^135+18x^136+742x^138+108x^139+324x^140+1540x^141+702x^142+648x^143+1388x^144+144x^145+224x^147+92x^150+110x^153+96x^156+6x^159+6x^162+2x^198

The gray image is a code over GF(3) with n=639, k=8 and d=405.
This code was found by Heurico 1.16 in 0.942 seconds.