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

generates a code of length 59 over Z9[X]/(X^2+3,3X) who´s minimum homogenous weight is 114.

Homogenous weight enumerator: w(x)=1x^0+20x^114+54x^116+20x^117+486x^118+108x^119+28x^120+10x^123+2x^174

The gray image is a code over GF(3) with n=531, k=6 and d=342.
This code was found by Heurico 1.16 in 0.0648 seconds.