The generator matrix

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

generates a code of length 25 over Z5[X]/(X^2) who´s minimum homogenous weight is 80.

Homogenous weight enumerator: w(x)=1x^0+60x^80+20x^81+40x^84+404x^85+160x^86+200x^88+640x^89+1136x^90+1160x^91+2400x^93+3840x^94+2880x^95+2860x^96+9600x^98+10240x^99+5736x^100+5060x^101+12800x^103+10240x^104+4620x^105+3240x^106+436x^110+284x^115+60x^120+8x^125

The gray image is a linear code over GF(5) with n=125, k=7 and d=80.
This code was found by Heurico 1.16 in 3.39 seconds.