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

generates a code of length 72 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 137.

Homogenous weight enumerator: w(x)=1x^0+288x^137+276x^138+54x^139+420x^140+196x^141+810x^142+672x^143+850x^144+1458x^145+684x^146+206x^147+108x^148+156x^149+50x^150+102x^152+38x^153+54x^155+74x^156+36x^158+6x^159+18x^161+2x^162+2x^201

The gray image is a code over GF(3) with n=648, k=8 and d=411.
This code was found by Heurico 1.16 in 3.3 seconds.