The generator matrix

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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+288x^122+462x^123+450x^124+1800x^125+2372x^126+1998x^127+3492x^128+4290x^129+3942x^130+6324x^131+6312x^132+6138x^133+6288x^134+5646x^135+3078x^136+2742x^137+1662x^138+432x^139+540x^140+192x^141+228x^143+124x^144+96x^146+60x^147+48x^149+18x^150+18x^152+2x^153+6x^155

The gray image is a code over GF(3) with n=594, k=10 and d=366.
This code was found by Heurico 1.16 in 9.54 seconds.