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

generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 116.

Homogenous weight enumerator: w(x)=1x^0+222x^116+242x^117+18x^118+780x^119+556x^120+234x^121+1224x^122+1608x^123+1296x^124+1872x^125+3162x^126+2466x^127+1812x^128+1924x^129+360x^130+636x^131+222x^132+390x^134+164x^135+192x^137+92x^138+120x^140+42x^141+36x^143+4x^144+6x^146+2x^165

The gray image is a code over GF(3) with n=567, k=9 and d=348.
This code was found by Heurico 1.16 in 2.19 seconds.