The generator matrix

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

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+84x^25+500x^28+220x^30+2000x^33+300x^35+20x^40

The gray image is a linear code over GF(5) with n=40, k=5 and d=25.
This code was found by Heurico 1.16 in 0.00149 seconds.