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

generates a code of length 53 over Z5[X]/(X^2) who´s minimum homogenous weight is 190.

Homogenous weight enumerator: w(x)=1x^0+152x^190+364x^195+392x^200+448x^205+2500x^208+392x^210+10000x^213+304x^215+316x^220+292x^225+164x^230+164x^235+64x^240+40x^245+20x^250+8x^255+4x^260

The gray image is a linear code over GF(5) with n=265, k=6 and d=190.
This code was found by Heurico 1.16 in 0.842 seconds.