The generator matrix

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

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+196x^138+228x^139+972x^140+466x^141+558x^142+828x^143+572x^144+414x^145+630x^146+434x^147+366x^148+576x^149+172x^150+54x^151+72x^152+12x^156+4x^159+4x^171+2x^180

The gray image is a code over GF(3) with n=648, k=8 and d=414.
This code was found by Heurico 1.16 in 0.268 seconds.