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

generates a code of length 52 over Z5[X]/(X^2) who´s minimum homogenous weight is 195.

Homogenous weight enumerator: w(x)=1x^0+68x^195+180x^200+500x^204+132x^205+2000x^209+72x^210+76x^215+8x^220+24x^225+24x^230+28x^235+4x^240+4x^245+4x^255

The gray image is a linear code over GF(5) with n=260, k=5 and d=195.
This code was found by Heurico 1.16 in 0.0489 seconds.