The generator matrix

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

generates a code of length 64 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+1214x^117+2190x^118+5022x^119+8884x^120+11136x^121+16386x^122+21792x^123+27642x^124+37236x^125+43760x^126+50574x^127+57168x^128+55168x^129+51990x^130+47100x^131+37440x^132+24168x^133+15786x^134+9286x^135+3954x^136+2016x^137+946x^138+324x^139+36x^140+78x^141+48x^142+42x^143+18x^144+18x^145+18x^147

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 533 seconds.