The generator matrix

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

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+232x^235+456x^240+396x^245+500x^248+440x^250+4000x^253+304x^255+8000x^258+328x^260+292x^265+196x^270+152x^275+112x^280+76x^285+72x^290+48x^295+12x^300+4x^305+4x^310

The gray image is a linear code over GF(5) with n=320, k=6 and d=235.
This code was found by Heurico 1.16 in 1.12 seconds.