The generator matrix

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

generates a code of length 52 over Z5[X]/(X^2) who´s minimum homogenous weight is 202.

Homogenous weight enumerator: w(x)=1x^0+480x^202+660x^203+44x^205+540x^207+480x^208+60x^210+180x^212+60x^213+12x^215+300x^217+300x^218+4x^220+4x^230

The gray image is a linear code over GF(5) with n=260, k=5 and d=202.
This code was found by Heurico 1.16 in 0.0287 seconds.