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

generates a code of length 57 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 110.

Homogenous weight enumerator: w(x)=1x^0+72x^110+114x^111+162x^112+36x^113+1524x^114+108x^115+18x^116+6x^117+54x^118+54x^120+36x^122+2x^171

The gray image is a code over GF(3) with n=513, k=7 and d=330.
This code was found by Heurico 1.16 in 0.1 seconds.