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

generates a code of length 59 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 117.

Homogenous weight enumerator: w(x)=1x^0+58x^117+162x^118+6x^120+6x^123+8x^126+2x^153

The gray image is a code over GF(3) with n=531, k=5 and d=351.
This code was found by Heurico 1.16 in 0.06 seconds.