The generator matrix

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

generates a code of length 64 over Z5[X]/(X^2) who´s minimum homogenous weight is 235.

Homogenous weight enumerator: w(x)=1x^0+280x^235+240x^237+180x^238+140x^239+400x^240+1000x^241+900x^242+920x^243+1580x^244+392x^245+2320x^246+1700x^247+1640x^248+3380x^249+384x^250+4520x^251+2140x^252+2440x^253+6980x^254+372x^255+7520x^256+2940x^257+3940x^258+8880x^259+356x^260+7120x^261+2800x^262+2560x^263+4040x^264+252x^265+2520x^266+1440x^267+820x^268+220x^270+340x^272+116x^275+160x^280+84x^285+44x^290+28x^295+24x^300+8x^305+4x^315

The gray image is a linear code over GF(5) with n=320, k=7 and d=235.
This code was found by Heurico 1.16 in 23.6 seconds.