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

generates a code of length 70 over Z5[X]/(X^2) who´s minimum homogenous weight is 255.

Homogenous weight enumerator: w(x)=1x^0+36x^255+340x^260+448x^265+412x^270+500x^272+364x^275+4000x^277+292x^280+8000x^282+288x^285+256x^290+168x^295+196x^300+120x^305+92x^310+52x^315+40x^320+4x^325+12x^330+4x^340

The gray image is a linear code over GF(5) with n=350, k=6 and d=255.
This code was found by Heurico 1.16 in 1.17 seconds.