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

generates a code of length 71 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+60x^139+270x^140+42x^141+54x^142+108x^143+20x^144+36x^145+108x^146+12x^147+12x^148+4x^150+2x^168

The gray image is a code over GF(3) with n=639, k=6 and d=417.
This code was found by Heurico 1.16 in 0.166 seconds.