The generator matrix

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

generates a code of length 66 over Z5[X]/(X^2) who´s minimum homogenous weight is 255.

Homogenous weight enumerator: w(x)=1x^0+208x^255+100x^256+172x^260+800x^261+84x^265+1600x^266+64x^270+28x^275+8x^280+20x^285+8x^290+4x^295+8x^300+16x^305+4x^320

The gray image is a linear code over GF(5) with n=330, k=5 and d=255.
This code was found by Heurico 1.16 in 20.8 seconds.