The generator matrix

 1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  1  X  1  1  1
 0  X  0  0  0  X  0  X  X  X 2X 3X  0 2X 4X 3X  0  X 4X  X 2X  X 2X  X  0
 0  0  X  0  0 3X 2X 4X 3X 4X  0  X 3X 4X 4X  0 2X 3X 4X 4X 3X 3X 4X 4X  0
 0  0  0  X  0 3X 4X 4X 4X 2X 4X  0 2X  X 3X 4X  0  0  X 2X 2X 3X  0 4X  0
 0  0  0  0  X 3X 3X 2X  X  0  X 4X 4X  X 4X  X 2X  0 3X 2X 2X 4X 2X  0  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+108x^80+320x^85+412x^90+444x^95+2500x^96+448x^100+10000x^101+572x^105+440x^110+308x^115+56x^120+16x^125

The gray image is a linear code over GF(5) with n=125, k=6 and d=80.
This code was found by Heurico 1.16 in 0.309 seconds.