The generator matrix

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

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 139.

Homogenous weight enumerator: w(x)=1x^0+492x^139+810x^140+320x^141+1116x^142+702x^143+318x^144+690x^145+522x^146+180x^147+558x^148+522x^149+58x^150+198x^151+36x^152+2x^153+6x^154+6x^156+6x^157+2x^159+6x^163+6x^166+4x^168

The gray image is a code over GF(3) with n=648, k=8 and d=417.
This code was found by Heurico 1.16 in 0.265 seconds.