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

generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 254.

Homogenous weight enumerator: w(x)=1x^0+240x^254+456x^255+560x^256+520x^259+288x^260+240x^261+120x^264+280x^265+40x^266+40x^269+92x^270+160x^271+80x^274+4x^275+4x^300

The gray image is a linear code over GF(5) with n=325, k=5 and d=254.
This code was found by Heurico 1.16 in 0.0512 seconds.