The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1
 0  X  0  0  0  0  X  0  X  X 2X  X
 0  0  X  0  0  0 3X  X 3X 4X 4X  0
 0  0  0  X  0  0 3X 3X 4X  0 4X 4X
 0  0  0  0  X  0 3X 4X  X  X 3X 4X
 0  0  0  0  0  X 3X  X 2X  X  0  X

generates a code of length 12 over Z5[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+380x^30+888x^35+1740x^40+3840x^45+62500x^48+4644x^50+3000x^55+1132x^60

The gray image is a linear code over GF(5) with n=60, k=7 and d=30.
This code was found by Heurico 1.16 in 1.65 seconds.