The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  0  1  1  1  1  1  1  X  1  1  1  X  X  3  1  1  1  1  X  6  6  6  1  1  6  X
 0  X  0  0  0 2X X+3 2X+3  X 2X+3  3  3 X+3 2X+3 2X X+3 X+3 X+3 2X+3 X+6  0 X+6 2X 2X+3 2X+3  3  3 2X  X 2X X+6 2X+3 2X+6  6  0  X  0  X  3 2X+3 X+6 X+3 2X+3 2X X+3 X+3  3 2X 2X+6 2X 2X+3  X 2X  3 2X+3  3 2X+3  X  6  X  X  X  X  6
 0  0  X  0  6  3  6  3  0  0 X+3 2X+6 2X+6 2X+3 X+6  X 2X  X 2X+6  X 2X+6 2X+6 X+3 X+3 2X+3 X+6 2X+3  3 2X+6 X+3 X+6 2X+3 X+6 2X+6 2X X+3 X+3  6  3  0 2X+6  6 2X X+3 2X+3  3 2X+3  0 2X 2X+6 X+3 X+3 2X+3 X+6  6 2X+6  6 2X  X X+3 2X  X  X 2X+3
 0  0  0  X 2X+3  0 2X X+6  X 2X 2X+3  6  3  0  6 X+6 X+6  3 2X+6 2X 2X 2X+6 2X X+6  X X+3 X+6  X 2X+6 2X+3  3 X+3  3  0  X X+6 X+3 2X+6  X X+6  0  6 2X+3 X+3 2X  6  3 X+3  0  6  6 2X+3 2X 2X+6 2X+3 X+3  3 X+3  0 2X+6  6 2X+6 X+3  0

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 118.

Homogenous weight enumerator: w(x)=1x^0+180x^118+222x^119+316x^120+414x^121+744x^122+826x^123+846x^124+1482x^125+2042x^126+1638x^127+2034x^128+2824x^129+1368x^130+1632x^131+1144x^132+426x^133+324x^134+194x^135+234x^136+186x^137+130x^138+144x^139+126x^140+38x^141+78x^142+30x^143+16x^144+18x^145+24x^146+2x^159

The gray image is a code over GF(3) with n=576, k=9 and d=354.
This code was found by Heurico 1.16 in 3.39 seconds.