The generator matrix

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

generates a code of length 5 over Z5[X]/(X^2) who´s minimum homogenous weight is 15.

Homogenous weight enumerator: w(x)=1x^0+40x^15+540x^20+44x^25

The gray image is a linear code over GF(5) with n=25, k=4 and d=15.
This code was found by Heurico 1.16 in 9.49e-005 seconds.