The generator matrix

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

generates a code of length 54 over Z5[X]/(X^2) who´s minimum homogenous weight is 210.

Homogenous weight enumerator: w(x)=1x^0+472x^210+200x^211+540x^212+636x^215+180x^216+200x^217+216x^220+40x^221+180x^222+292x^225+80x^226+80x^227+8x^240

The gray image is a linear code over GF(5) with n=270, k=5 and d=210.
This code was found by Heurico 1.16 in 0.0317 seconds.