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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 128.

Homogenous weight enumerator: w(x)=1x^0+108x^128+98x^129+318x^130+192x^131+726x^132+456x^133+132x^134+38x^135+24x^136+24x^137+14x^138+12x^139+30x^140+12x^141+2x^192

The gray image is a code over GF(3) with n=594, k=7 and d=384.
This code was found by Heurico 1.16 in 0.119 seconds.