The generator matrix

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

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+1356x^121+2754x^122+5418x^123+7728x^124+11658x^125+17300x^126+22314x^127+28182x^128+38416x^129+43224x^130+46308x^131+58010x^132+54402x^133+49944x^134+49236x^135+35100x^136+25194x^137+16926x^138+9708x^139+4686x^140+1996x^141+948x^142+300x^143+30x^144+132x^145+66x^146+8x^147+36x^148+36x^149+6x^150+12x^151+6x^153

The gray image is a code over GF(3) with n=594, k=12 and d=363.
This code was found by Heurico 1.16 in 507 seconds.