The generator matrix

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

generates a code of length 55 over Z5[X]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+744x^210+1040x^211+680x^212+120x^213+1284x^215+1940x^216+1240x^217+200x^218+1288x^220+1680x^221+760x^222+80x^223+820x^225+960x^226+440x^227+60x^228+980x^230+880x^231+380x^232+40x^233+4x^240+4x^245

The gray image is a linear code over GF(5) with n=275, k=6 and d=210.
This code was found by Heurico 1.16 in 0.317 seconds.