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

generates a code of length 57 over Z5[X]/(X^2) who´s minimum homogenous weight is 218.

Homogenous weight enumerator: w(x)=1x^0+540x^218+1160x^219+932x^220+520x^221+860x^223+2180x^224+924x^225+380x^226+720x^228+1420x^229+756x^230+220x^231+820x^233+1380x^234+648x^235+240x^236+560x^238+860x^239+360x^240+140x^241+4x^250

The gray image is a linear code over GF(5) with n=285, k=6 and d=218.
This code was found by Heurico 1.16 in 0.335 seconds.