The generator matrix

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

generates a code of length 65 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+1110x^120+1026x^121+2340x^122+4944x^123+5688x^124+7452x^125+10956x^126+10908x^127+13770x^128+19296x^129+15588x^130+19260x^131+19722x^132+13752x^133+11394x^134+9136x^135+4968x^136+2592x^137+2004x^138+558x^139+54x^140+390x^141+182x^144+54x^147+2x^153

The gray image is a code over GF(3) with n=585, k=11 and d=360.
This code was found by Heurico 1.16 in 114 seconds.