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

generates a code of length 58 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 115.

Homogenous weight enumerator: w(x)=1x^0+36x^115+162x^116+14x^117+18x^118+6x^120+4x^123+2x^141

The gray image is a code over GF(3) with n=522, k=5 and d=345.
This code was found by Heurico 1.16 in 0.0564 seconds.