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

generates a code of length 73 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 138.

Homogenous weight enumerator: w(x)=1x^0+268x^138+450x^141+162x^142+1384x^144+648x^145+2386x^147+648x^148+238x^150+138x^153+116x^156+68x^159+50x^162+2x^165+2x^207

The gray image is a code over GF(3) with n=657, k=8 and d=414.
This code was found by Heurico 1.16 in 1.55 seconds.