The generator matrix

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

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+304x^195+260x^196+580x^198+1264x^200+540x^201+1260x^203+1212x^205+480x^206+3240x^208+1128x^210+520x^211+2420x^213+1212x^215+560x^216+424x^220+140x^221+20x^225+16x^230+20x^235+16x^240+8x^250

The gray image is a linear code over GF(5) with n=260, k=6 and d=195.
This code was found by Heurico 1.16 in 0.387 seconds.