The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+906x^117+2406x^118+5232x^119+8072x^120+10884x^121+18198x^122+20086x^123+28872x^124+40110x^125+41856x^126+47082x^127+60354x^128+52278x^129+53088x^130+49956x^131+34286x^132+23670x^133+18060x^134+8538x^135+4188x^136+1926x^137+796x^138+282x^139+48x^140+96x^141+90x^142+24x^143+26x^144+18x^145+6x^146+6x^148

The gray image is a code over GF(3) with n=576, k=12 and d=351.
This code was found by Heurico 1.16 in 438 seconds.