The generator matrix

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

generates a code of length 67 over Z5[X]/(X^2) who´s minimum homogenous weight is 258.

Homogenous weight enumerator: w(x)=1x^0+1260x^258+640x^259+888x^260+420x^261+160x^262+1900x^263+960x^264+684x^265+480x^266+200x^267+1240x^268+840x^269+772x^270+300x^271+60x^272+1140x^273+580x^274+304x^275+180x^276+40x^277+1100x^278+480x^279+468x^280+120x^281+40x^282+360x^283+8x^285

The gray image is a linear code over GF(5) with n=335, k=6 and d=258.
This code was found by Heurico 1.16 in 3.45 seconds.