The generator matrix

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

generates a code of length 54 over Z5[X]/(X^2) who´s minimum homogenous weight is 207.

Homogenous weight enumerator: w(x)=1x^0+1480x^207+1800x^208+220x^210+1880x^212+1900x^213+176x^215+1700x^217+1820x^218+120x^220+1540x^222+1460x^223+84x^225+900x^227+520x^228+20x^235+4x^240

The gray image is a linear code over GF(5) with n=270, k=6 and d=207.
This code was found by Heurico 1.16 in 741 seconds.