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

generates a code of length 71 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+88x^138+72x^140+156x^141+1620x^142+72x^143+98x^144+18x^146+56x^147+4x^150+2x^213

The gray image is a code over GF(3) with n=639, k=7 and d=414.
This code was found by Heurico 1.16 in 0.196 seconds.