The generator matrix

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

generates a code of length 67 over Z5[X]/(X^2) who´s minimum homogenous weight is 262.

Homogenous weight enumerator: w(x)=1x^0+360x^262+620x^263+60x^265+780x^267+440x^268+48x^270+180x^272+260x^273+60x^277+180x^278+4x^280+120x^282+8x^285+4x^310

The gray image is a linear code over GF(5) with n=335, k=5 and d=262.
This code was found by Heurico 1.16 in 5.02 seconds.