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

generates a code of length 63 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+212x^117+294x^120+162x^122+366x^123+648x^125+3454x^126+648x^128+396x^129+138x^132+98x^135+84x^138+54x^141+4x^144+2x^180

The gray image is a code over GF(3) with n=567, k=8 and d=351.
This code was found by Heurico 1.16 in 0.357 seconds.