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

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+34x^138+78x^139+78x^140+124x^141+1644x^142+60x^143+56x^144+42x^145+24x^146+20x^147+18x^148+6x^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 0.152 seconds.