The generator matrix

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

generates a code of length 57 over Z5[X]/(X^2) who´s minimum homogenous weight is 205.

Homogenous weight enumerator: w(x)=1x^0+104x^205+80x^208+200x^209+340x^210+180x^211+220x^212+360x^213+1240x^214+528x^215+1540x^216+1020x^217+1100x^218+2760x^219+316x^220+3140x^221+1920x^222+2400x^223+5160x^224+384x^225+7540x^226+3920x^227+3900x^228+7560x^229+280x^230+8440x^231+3720x^232+3320x^233+5960x^234+328x^235+4160x^236+1700x^237+1340x^238+2120x^239+272x^240+236x^245+120x^250+116x^255+72x^260+20x^265+8x^270

The gray image is a linear code over GF(5) with n=285, k=7 and d=205.
This code was found by Heurico 1.16 in 10.5 seconds.