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  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 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 2X+4 4X+2  0 X+2 X+3 X+1 3X+4 2X+2 2X+3 2X+3 4X 2X
 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 3X+2 4X 3X 4X+3 4X+3 2X+3  3 4X+1 4X+1  0 3X+2 4X+3 2X+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+1244x^250+520x^251+1300x^252+2360x^255+580x^256+1200x^257+1560x^260+600x^261+1220x^262+1480x^265+480x^266+760x^267+1020x^270+320x^271+520x^272+460x^275

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 38.6 seconds.