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

generates a code of length 68 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 132.

Homogenous weight enumerator: w(x)=1x^0+102x^132+78x^133+318x^134+254x^135+684x^136+456x^137+150x^138+24x^139+24x^140+30x^141+18x^142+12x^143+28x^144+6x^145+2x^198

The gray image is a code over GF(3) with n=612, k=7 and d=396.
This code was found by Heurico 1.16 in 0.131 seconds.