The generator matrix

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

generates a code of length 53 over Z5[X]/(X^2) who´s minimum homogenous weight is 200.

Homogenous weight enumerator: w(x)=1x^0+108x^200+180x^205+108x^210+2500x^212+76x^215+60x^220+12x^225+16x^230+28x^235+16x^240+16x^245+4x^265

The gray image is a linear code over GF(5) with n=265, k=5 and d=200.
This code was found by Heurico 1.16 in 0.0509 seconds.