The generator matrix

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

generates a code of length 25 over Z5[X]/(X^2) who´s minimum homogenous weight is 75.

Homogenous weight enumerator: w(x)=1x^0+188x^75+644x^80+1068x^85+500x^88+1644x^90+6000x^93+2332x^95+24000x^98+2996x^100+32000x^103+3116x^105+2132x^110+1096x^115+348x^120+60x^125

The gray image is a linear code over GF(5) with n=125, k=7 and d=75.
This code was found by Heurico 1.16 in 7.12 seconds.