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

generates a code of length 64 over Z5[X]/(X^2) who´s minimum homogenous weight is 250.

Homogenous weight enumerator: w(x)=1x^0+408x^250+200x^251+560x^252+788x^255+100x^256+240x^257+188x^260+200x^261+40x^262+148x^265+160x^267+84x^270+4x^275+4x^295

The gray image is a linear code over GF(5) with n=320, k=5 and d=250.
This code was found by Heurico 1.16 in 2.78 seconds.