The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 122.

Homogenous weight enumerator: w(x)=1x^0+864x^122+1080x^123+1590x^124+2514x^125+1986x^126+1482x^127+2058x^128+1232x^129+1374x^130+1890x^131+1034x^132+726x^133+954x^134+566x^135+162x^136+132x^137+8x^138+6x^139+12x^140+4x^141+6x^145+2x^147

The gray image is a code over GF(3) with n=576, k=9 and d=366.
This code was found by Heurico 1.16 in 0.699 seconds.