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

generates a code of length 72 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 135.

Homogenous weight enumerator: w(x)=1x^0+128x^135+420x^138+466x^141+1458x^142+438x^144+2916x^145+276x^147+160x^150+142x^153+96x^156+58x^159+2x^207

The gray image is a code over GF(3) with n=648, k=8 and d=405.
This code was found by Heurico 1.16 in 0.46 seconds.