The generator matrix

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

generates a code of length 8 over Z5[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+32x^25+36x^30+500x^32+24x^35+32x^40

The gray image is a linear code over GF(5) with n=40, k=4 and d=25.
This code was found by Heurico 1.16 in 0.000249 seconds.