The generator matrix

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

generates a code of length 64 over Z5[X]/(X^2) who´s minimum homogenous weight is 245.

Homogenous weight enumerator: w(x)=1x^0+512x^245+480x^246+520x^247+280x^248+540x^249+1984x^250+1200x^251+660x^252+200x^253+580x^254+1312x^255+880x^256+560x^257+280x^258+500x^259+1008x^260+820x^261+320x^262+120x^263+300x^264+660x^265+520x^266+440x^267+120x^268+80x^269+640x^270+100x^271+4x^275+4x^280

The gray image is a linear code over GF(5) with n=320, k=6 and d=245.
This code was found by Heurico 1.16 in 0.386 seconds.