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 2X 2X 3X 1 1 3X 1 0 1 1 1 1 1 1 X 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 2X 2X 3X+2 2 2X+3 4X+3 2X+3 0 3X+2 2X X+2 X+1 2X+4 4X+1 X+4 2X+4 X X+1 4X+3 3X+1 4X+2 3X+2 4X+2 1 1 1 2X+4 3 1 X+3 1 3X 4X+1 4X+4 3X 1 4X+3 1 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 X 3X X 0 3X 4X X 2X 3X 4X 2X 3X 4X 2X 3X X 0 0 0 X 4X 0 2X 0 2X 4X 0 2X 3X X X 3X 4X 2X 4X 0 3X 0 generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 255. Homogenous weight enumerator: w(x)=1x^0+260x^255+1400x^256+160x^260+600x^261+100x^265+100x^266+100x^270+400x^271+4x^275 The gray image is a linear code over GF(5) with n=325, k=5 and d=255. This code was found by Heurico 1.16 in 82.9 seconds.