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  X  1  1  1  1  1  1  X  1  X  1  1  1  1  X  1  X  X  X  X  6  1
 0  6  0  0  6  0  6  6  3  0  0  6  6  0  3  6  3  3  0  6  3  0  6  3  3  3  3  0  0  0  6  6  0  6  6  3  6  0  0  6  6  0  3  6  0  3  6  3  6  3  6  0  6  3  3  3  6  6
 0  0  6  0  3  6  3  6  3  0  6  6  0  3  0  0  6  6  3  3  3  3  6  0  0  6  3  0  0  6  3  6  6  3  0  3  0  0  6  6  0  3  0  6  3  6  3  6  6  0  0  3  6  0  3  6  3  0
 0  0  0  6  3  3  0  3  3  3  6  0  3  0  3  6  6  0  6  6  6  3  6  0  6  3  0  0  6  3  3  3  6  6  6  3  3  3  0  0  0  6  6  6  0  0  0  6  6  3  0  3  3  3  0  3  3  3

generates a code of length 58 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 113.

Homogenous weight enumerator: w(x)=1x^0+108x^113+198x^114+348x^117+16x^120+54x^122+2x^135+2x^147

The gray image is a code over GF(3) with n=522, k=6 and d=339.
This code was found by Heurico 1.16 in 0.195 seconds.