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  X  1  1  1  1  1  1  X  1  X  1  0  1  1  1  0  1
 0  X  0  0 2X X+6 2X+6  X 2X  3  X  X 2X+6 X+6  0  3 2X+6 2X  3 X+6  3  6 2X+6 X+6  X 2X 2X+3  3 X+3 2X+6  6 X+6 2X+6  3 X+3 2X+6 X+6 2X+3  3 2X  0 X+3  0  X  6 2X  3 2X+3  6 2X+3  X  6  3  6 2X  X X+6  0 X+6 X+3  X X+6 X+6 X+6  6  0 2X  X X+6 2X+6 2X+6  X X+6
 0  0  X 2X  3 2X+6 X+3  X 2X+6  6 X+3  6 X+3 2X  X 2X  0 2X  6  6 2X+3 X+6  0 2X+6 X+3 X+3 2X+3 2X+3 2X+3  X  X  X  3  3  3  3 X+3 2X+3  3 2X+3 X+3 2X+3  3 2X+6 2X+6  6 2X+6  6 X+6 X+6  3 2X+6 2X+6  6 X+6 2X+3 2X+3 2X+6  0  3 2X+3 2X+6  X  0 2X X+6  0  6 X+3 X+6  X 2X  6
 0  0  0  3  0  0  6  3  6  6  6  3  3  6  3  6  6  3  3  6  0  6  3  3  0  0  0  3  3  0  3  0  0  0  6  6  3  6  6  3  6  0  3  6  0  3  3  0  0  3  3  6  0  6  6  3  3  6  6  3  0  6  3  0  6  3  3  6  0  3  6  6  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+54x^138+174x^139+186x^140+212x^141+498x^142+138x^143+484x^144+1278x^145+870x^146+732x^147+1206x^148+156x^149+68x^150+96x^151+42x^152+62x^153+48x^154+24x^155+36x^156+78x^157+18x^158+36x^159+18x^160+18x^161+14x^162+6x^163+6x^164+2x^204

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 0.435 seconds.