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

generates a code of length 67 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 130.

Homogenous weight enumerator: w(x)=1x^0+72x^130+66x^131+370x^132+252x^133+702x^134+464x^135+108x^136+18x^137+30x^138+36x^139+24x^140+24x^141+18x^142+2x^195

The gray image is a code over GF(3) with n=603, k=7 and d=390.
This code was found by Heurico 1.16 in 0.125 seconds.