The generator matrix

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

generates a code of length 10 over Z5[X]/(X^2) who´s minimum homogenous weight is 30.

Homogenous weight enumerator: w(x)=1x^0+84x^30+144x^35+2644x^40+184x^45+68x^50

The gray image is a linear code over GF(5) with n=50, k=5 and d=30.
This code was found by Heurico 1.16 in 0.0037 seconds.