The generator matrix

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

generates a code of length 69 over Z5[X]/(X^2) who´s minimum homogenous weight is 255.

Homogenous weight enumerator: w(x)=1x^0+264x^255+20x^256+180x^257+400x^258+420x^259+444x^260+480x^261+1260x^262+1700x^263+1000x^264+440x^265+1140x^266+2700x^267+3300x^268+1780x^269+376x^270+2240x^271+5500x^272+5300x^273+2880x^274+364x^275+3840x^276+7000x^277+7300x^278+3380x^279+284x^280+3520x^281+6320x^282+5400x^283+2460x^284+228x^285+1260x^286+2040x^287+1600x^288+580x^289+196x^290+152x^295+136x^300+92x^305+68x^310+44x^315+32x^320+4x^325

The gray image is a linear code over GF(5) with n=345, k=7 and d=255.
This code was found by Heurico 1.16 in 53.9 seconds.