The generator matrix

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

generates a code of length 66 over Z5[X]/(X^2) who´s minimum homogenous weight is 250.

Homogenous weight enumerator: w(x)=1x^0+404x^250+80x^251+420x^254+2016x^255+660x^256+480x^259+1980x^260+420x^261+540x^264+2372x^265+580x^266+800x^269+2812x^270+540x^271+260x^274+952x^275+220x^276+32x^280+16x^285+8x^290+8x^295+8x^300+12x^305+4x^310

The gray image is a linear code over GF(5) with n=330, k=6 and d=250.
This code was found by Heurico 1.16 in 0.499 seconds.