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

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+1172x^245+1700x^246+1300x^247+120x^248+3468x^250+4780x^251+2700x^252+500x^253+5596x^255+6620x^256+4260x^257+580x^258+5152x^260+8380x^261+4120x^262+860x^263+5480x^265+7540x^266+3680x^267+440x^268+3784x^270+3200x^271+1440x^272+912x^275+280x^276+16x^280+24x^285+16x^290+4x^305

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 64.8 seconds.