The generator matrix

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

generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 245.

Homogenous weight enumerator: w(x)=1x^0+908x^245+2100x^246+800x^247+3752x^250+5940x^251+2400x^252+5876x^255+7640x^256+2420x^257+6480x^260+8820x^261+3140x^262+6852x^265+8200x^266+2860x^267+3600x^270+4280x^271+880x^272+592x^275+520x^276+24x^280+20x^285+8x^290+12x^295

The gray image is a linear code over GF(5) with n=325, k=7 and d=245.
This code was found by Heurico 1.16 in 18.6 seconds.