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

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 112.

Homogenous weight enumerator: w(x)=1x^0+96x^112+72x^113+138x^114+108x^115+1512x^116+44x^117+72x^118+58x^120+12x^121+36x^122+36x^124+2x^174

The gray image is a code over GF(3) with n=522, k=7 and d=336.
This code was found by Heurico 1.16 in 0.0871 seconds.