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

generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+1086x^115+1938x^116+4596x^117+8736x^118+9954x^119+17052x^120+24684x^121+25782x^122+36900x^123+47958x^124+45972x^125+55352x^126+60702x^127+49668x^128+46734x^129+39564x^130+22272x^131+15960x^132+10092x^133+3132x^134+1900x^135+930x^136+156x^137+78x^138+120x^139+42x^140+24x^141+30x^142+6x^143+8x^144+12x^145

The gray image is a code over GF(3) with n=567, k=12 and d=345.
This code was found by Heurico 1.16 in 427 seconds.