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

generates a code of length 66 over Z5[X]/(X^2) who´s minimum homogenous weight is 254.

Homogenous weight enumerator: w(x)=1x^0+1240x^254+872x^255+520x^256+680x^257+1920x^259+600x^260+860x^261+780x^262+1680x^264+512x^265+540x^266+500x^267+1320x^269+540x^270+260x^271+440x^272+940x^274+584x^275+320x^276+100x^277+400x^279+8x^280+8x^290

The gray image is a linear code over GF(5) with n=330, k=6 and d=254.
This code was found by Heurico 1.16 in 7.08 seconds.