The generator matrix

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

generates a code of length 10 over Z5[X]/(X^2) who´s minimum homogenous weight is 25.

Homogenous weight enumerator: w(x)=1x^0+108x^25+100x^28+320x^30+1000x^32+1200x^33+520x^35+7500x^36+8000x^37+4800x^38+1020x^40+30000x^41+16000x^42+6400x^43+820x^45+336x^50

The gray image is a linear code over GF(5) with n=50, k=7 and d=25.
This code was found by Heurico 1.16 in 0.563 seconds.