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 2X 2X+3 3X+3  4 2X X+3 3X+2
 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 2X+4 2X 3X+1  X 2X+3 3X+1
 0  0  0 3X 4X  0  X 4X  X 3X 4X 2X  X 2X 3X  0 4X 2X  X 2X 3X  X 3X 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+180x^86+420x^87+120x^88+400x^89+1128x^90+2200x^91+1800x^92+1440x^93+1800x^94+2252x^95+4320x^96+4780x^97+5760x^98+5200x^99+5468x^100+8040x^101+7860x^102+7680x^103+5100x^104+4132x^105+5260x^106+2640x^107+72x^110+44x^115+20x^120+8x^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 10.5 seconds.