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

generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 129.

Homogenous weight enumerator: w(x)=1x^0+348x^129+18x^130+838x^132+108x^133+324x^134+1556x^135+702x^136+648x^137+1314x^138+144x^139+204x^141+170x^144+96x^147+72x^150+8x^153+6x^156+2x^159+2x^189

The gray image is a code over GF(3) with n=612, k=8 and d=387.
This code was found by Heurico 1.16 in 0.399 seconds.