The generator matrix

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

generates a code of length 55 over Z5[X]/(X^2) who´s minimum homogenous weight is 215.

Homogenous weight enumerator: w(x)=1x^0+1368x^215+876x^220+368x^225+508x^230+4x^255

The gray image is a linear code over GF(5) with n=275, k=5 and d=215.
This code was found by Heurico 1.16 in 58.6 seconds.