The generator matrix

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

generates a code of length 53 over Z5[X]/(X^2) who´s minimum homogenous weight is 203.

Homogenous weight enumerator: w(x)=1x^0+1720x^203+1240x^204+148x^205+2680x^208+1280x^209+228x^210+2620x^213+1160x^214+120x^215+1840x^218+880x^219+100x^220+1140x^223+440x^224+4x^225+12x^230+12x^235

The gray image is a linear code over GF(5) with n=265, k=6 and d=203.
This code was found by Heurico 1.16 in 3.61 seconds.