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

generates a code of length 59 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 108.

Homogenous weight enumerator: w(x)=1x^0+248x^108+162x^114+908x^117+4374x^118+648x^120+120x^126+84x^135+14x^144+2x^171

The gray image is a code over GF(3) with n=531, k=8 and d=324.
This code was found by Heurico 1.16 in 6.49 seconds.