The generator matrix

 1  0  1  1  1  1  1  1  3  1  1  0  1  1  1  6  1  0  1  1  1  1 X+3  1  1  1  1  1 2X  1  1  1 X+3  1 2X+6  1  1 X+6  1  1 X+6  1  1  1  1 2X  1  1  1  1  1  1 2X+6  1  1  1  1  1  1  1  1  1 2X+3  1  1  1
 0  1  1  8  3  2  0 2X+1  1  7  8  1 X+1  3 X+2  1 2X+8  1 X+3  5 2X 2X+7  1 2X+8 X+2  4 2X  X  1 2X+4 2X+3 X+4  1  4  1 X+4 X+5  1 2X+4 2X+2  1  X X+3 2X+6 X+7  1 X+7 X+6  4 2X+5 2X+5  8  1 2X+4  0  3 X+6 X+7  2 2X+8  7 2X+3  1 2X+3  6  X
 0  0 2X  6 X+6 X+3 2X+6  X  X 2X+3 2X+6 2X+6  6  3 2X+6 X+6  0  6 2X  X X+3 X+6 2X+3 2X+3  0  6 2X+6 X+6 2X+6  3  0 X+6 X+3  X X+3 2X  X 2X 2X+3 X+3  6 2X+3 X+3  3  3  0 2X+6  3 X+6  6 2X 2X 2X+3  0  6 2X+3 2X+3  6 2X+3 X+6 X+3  6  6 2X+6  X  X

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 127.

Homogenous weight enumerator: w(x)=1x^0+360x^127+810x^128+732x^129+666x^130+750x^131+508x^132+540x^133+450x^134+498x^135+468x^136+522x^137+116x^138+48x^139+60x^140+2x^141+12x^145+2x^147+6x^148+2x^153+6x^154+2x^156

The gray image is a code over GF(3) with n=594, k=8 and d=381.
This code was found by Heurico 1.16 in 0.211 seconds.