The generator matrix

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

generates a code of length 26 over Z5[X]/(X^2) who´s minimum homogenous weight is 100.

Homogenous weight enumerator: w(x)=1x^0+1300x^100+1200x^105+600x^110+24x^125

The gray image is a linear code over GF(5) with n=130, k=5 and d=100.
This code was found by Heurico 1.16 in 5.74 seconds.