The generator matrix

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

generates a code of length 25 over Z5[X]/(X^2) who´s minimum homogenous weight is 89.

Homogenous weight enumerator: w(x)=1x^0+400x^89+352x^90+1800x^94+592x^95+5200x^99+1116x^100+5100x^104+916x^105+76x^110+44x^115+24x^120+4x^125

The gray image is a linear code over GF(5) with n=125, k=6 and d=89.
This code was found by Heurico 1.16 in 12.7 seconds.