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

generates a code of length 67 over Z5[X]/(X^2) who´s minimum homogenous weight is 245.

Homogenous weight enumerator: w(x)=1x^0+124x^245+40x^246+220x^249+372x^250+800x^251+200x^252+460x^253+1180x^254+456x^255+1860x^256+1120x^257+1340x^258+2820x^259+440x^260+3700x^261+1820x^262+1940x^263+5220x^264+336x^265+5700x^266+3820x^267+4040x^268+7320x^269+320x^270+7260x^271+3920x^272+3440x^273+6200x^274+276x^275+4200x^276+1620x^277+1280x^278+2040x^279+192x^280+1440x^281+180x^285+152x^290+112x^295+76x^300+52x^305+20x^310+12x^315+4x^320

The gray image is a linear code over GF(5) with n=335, k=7 and d=245.
This code was found by Heurico 1.16 in 12.1 seconds.