The generator matrix

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

generates a code of length 25 over Z5[X]/(X^2) who´s minimum homogenous weight is 86.

Homogenous weight enumerator: w(x)=1x^0+260x^86+400x^87+60x^88+640x^89+940x^90+1980x^91+1880x^92+720x^93+2880x^94+1808x^95+4500x^96+5760x^97+2880x^98+8320x^99+4420x^100+8020x^101+9240x^102+3840x^103+8160x^104+3320x^105+5240x^106+2720x^107+60x^110+40x^115+32x^120+4x^125

The gray image is a linear code over GF(5) with n=125, k=7 and d=86.
This code was found by Heurico 1.16 in 3.03 seconds.