The generator matrix

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

generates a code of length 66 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 121.

Homogenous weight enumerator: w(x)=1x^0+282x^121+492x^122+1658x^123+2916x^124+3870x^125+5388x^126+8106x^127+9390x^128+13344x^129+15282x^130+15282x^131+18152x^132+19422x^133+16698x^134+14938x^135+12408x^136+7740x^137+5578x^138+3348x^139+1200x^140+830x^141+282x^142+144x^143+106x^144+132x^145+60x^146+26x^147+24x^148+36x^149+6x^151+6x^152

The gray image is a code over GF(3) with n=594, k=11 and d=363.
This code was found by Heurico 1.16 in 70.1 seconds.