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 X 1 X X X 1 1 1 1 1 1 0 X 0 0 0 0 0 X X 4X 2X 3X 4X 3X 2X 0 4X 3X 4X X 2X 2X X 0 2X 3X 0 3X 2X X 4X 4X 4X 3X 4X 0 X 3X X 3X 3X 3X 3X 3X 4X 2X 3X 4X 0 X 0 2X X 4X 0 2X X X 0 X 4X 3X 0 4X 0 0 0 X 0 0 X X 3X 4X 3X 0 X 2X 2X X 3X 3X 0 X 4X X 0 0 3X 0 4X 2X 3X X 2X X 3X 4X X X 2X 4X 3X 3X 4X X 4X X 4X X 4X 2X 4X 0 3X 2X 2X 0 3X X 4X 4X 4X X 0 X 3X X 4X 0 0 0 0 X 0 3X 2X 3X X X 4X X 0 X X 2X 3X 0 0 3X 4X X 4X X 2X 3X X 4X 3X 0 3X 3X X 4X 3X 2X 0 2X 3X 2X 4X 4X 0 2X 4X X 4X 4X X 0 X 0 0 X 4X 4X 0 4X 0 3X 4X X 4X 4X 0 0 0 0 0 X 3X X 4X 3X X 3X 4X 2X 0 0 X 3X 4X 0 4X 0 0 X 4X 3X 3X 2X 2X 4X X X X 2X 4X 4X 2X 4X 0 3X 0 3X 3X 3X 2X 0 4X 3X 0 3X X 4X 4X 4X 2X 0 2X X X 3X 0 4X 2X 3X X 0 generates a code of length 65 over Z5[X]/(X^2) who´s minimum homogenous weight is 235. Homogenous weight enumerator: w(x)=1x^0+64x^235+304x^240+20x^244+432x^245+320x^249+400x^250+1920x^254+344x^255+5120x^259+364x^260+5120x^264+280x^265+240x^270+188x^275+200x^280+128x^285+92x^290+28x^295+36x^300+16x^305+4x^310+4x^315 The gray image is a linear code over GF(5) with n=325, k=6 and d=235. This code was found by Heurico 1.16 in 1.09 seconds.