The generator matrix

 1  0  1  1  1  1  1  1  3  1  0  1  1  1  6  1  1 X+3  1  1  1 2X+6  1  1  1  1  1  1 X+3  1  1 2X+6  1 X+6  1 2X+3  1  1  0  1  1  1  1  1  1 2X  1  1  1  1 2X+3  1  1  1  1  1  1  1  1  1  1 2X+3  1  1 X+6  X  1  1  1  1  1
 0  1  1  8  3  2  0  4  1  8  1 2X+4 X+4 2X+8  1 X+3 X+8  1 X+2 2X  1  1 X+2  6 2X+8 2X+6 2X+1 2X+5  1 X+3 2X+1  1 2X+4  1 2X  1 X+1  4  1 X+1  2  X  X  6 2X+1  1 X+8 2X+2 X+4 2X+3  1 X+5 X+8 2X+8  4  6  2 2X+5 2X+3 2X+3 2X+6  1 X+1 2X+7  1  1 X+6 2X+5  0 X+4  5
 0  0 2X  6 X+6 X+3 2X+6 2X+3  X 2X+6 2X+6  3 X+6  0 X+6  3  X 2X  0  3 X+3  6 2X  X 2X+6 2X+3  6  X  6 2X+3 X+6 2X+6 2X  X X+6 X+6 2X+3  0  3  0  3  X 2X+6  6 X+3 2X 2X+3 X+3  3 2X+6  3  3 2X  6  6 2X+3 2X  3 X+3 2X X+6  0  X X+3 X+6 X+3  6 X+6  3  X  X

generates a code of length 71 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+480x^137+586x^138+612x^139+1194x^140+534x^141+504x^142+606x^143+334x^144+396x^145+522x^146+344x^147+108x^148+258x^149+48x^150+6x^152+2x^153+10x^156+6x^158+2x^162+6x^164+2x^165

The gray image is a code over GF(3) with n=639, k=8 and d=411.
This code was found by Heurico 1.16 in 0.207 seconds.