The generator matrix

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

generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 250.

Homogenous weight enumerator: w(x)=1x^0+1508x^250+300x^251+380x^252+440x^253+520x^254+2784x^255+380x^256+420x^257+440x^258+440x^259+1752x^260+340x^261+300x^262+300x^263+300x^264+1872x^265+280x^266+220x^267+220x^268+200x^269+1152x^270+200x^271+180x^272+100x^273+40x^274+548x^275+8x^280

The gray image is a linear code over GF(5) with n=325, k=6 and d=250.
This code was found by Heurico 1.16 in 737 seconds.