The generator matrix

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

generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 240.

Homogenous weight enumerator: w(x)=1x^0+864x^240+1360x^241+2000x^242+980x^243+2380x^244+4776x^245+5020x^246+6580x^247+3100x^248+4980x^249+10692x^250+11100x^251+12660x^252+7120x^253+9940x^254+18124x^255+19540x^256+21180x^257+11100x^258+13700x^259+24108x^260+26040x^261+25060x^262+12680x^263+16060x^264+24244x^265+21780x^266+19240x^267+8480x^268+8840x^269+12936x^270+9020x^271+7840x^272+1540x^273+1600x^274+2324x^275+1140x^276+440x^277+28x^280+24x^285+4x^290

The gray image is a linear code over GF(5) with n=325, k=8 and d=240.
This code was found by Heurico 1.16 in 252 seconds.