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

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+416x^126+1128x^129+108x^130+54x^131+1590x^132+486x^133+1458x^134+3026x^135+3078x^136+2754x^137+2868x^138+702x^139+108x^140+792x^141+512x^144+336x^147+174x^150+84x^153+6x^156+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 2.33 seconds.