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

generates a code of length 60 over Z9[X]/(X^2+6,3X) who´s minimum homogenous weight is 120.

Homogenous weight enumerator: w(x)=1x^0+56x^120+6x^122+4x^123+6x^125+6x^128+2x^129

The gray image is a code over GF(3) with n=540, k=4 and d=360.
This code was found by Heurico 1.16 in 0.0642 seconds.