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

generates a code of length 68 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 126.

Homogenous weight enumerator: w(x)=1x^0+498x^126+896x^129+54x^130+2082x^132+324x^133+972x^134+4344x^135+2106x^136+1944x^137+4180x^138+432x^139+710x^141+486x^144+412x^147+176x^150+42x^153+20x^156+2x^159+2x^189

The gray image is a code over GF(3) with n=612, k=9 and d=378.
This code was found by Heurico 1.16 in 2.25 seconds.