The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 X 2X 1 2X 1 1 1 1 1 1 1 1 3X 1 1 0 3X 1 1 2X 1 1 1 3X 2X 1 1 1 1 3X 1 1 0 1 1 2 3X+4 3 0 3X+1 2 3X+4 3 1 0 3X+4 X 4X+4 3X+1 2 3 1 4X 2X+4 3X+1 X+2 X+3 2X+3 X 2X+3 2X+2 X+1 2X+4 1 1 X+1 1 3 X 2X+3 3X+1 2X 2X+4 3X+4 X+4 1 X+3 0 1 1 X+3 X 1 4X+4 2X+3 2X+4 1 1 X+3 4X+2 3X+2 3 1 4X+2 2X+1 0 0 3X 0 3X 2X 0 4X 2X 4X X 3X 2X 0 3X 0 2X X 4X X 0 X 4X 2X X 4X 2X 4X 4X X X 3X 4X 4X 0 0 3X 3X 2X 3X 3X X 0 0 X 2X 3X X 3X X 4X 2X 0 3X 4X 2X 0 X 4X 4X 0 X 0 0 0 0 X 3X X 2X 3X 0 2X 3X X 2X 3X X 4X 3X 2X X X X 0 2X X X 0 4X 4X 0 2X 4X 0 0 4X 2X 4X 4X 3X 0 2X X 2X 2X 4X 4X 3X 2X 4X X 0 3X 3X 3X 4X X 4X 0 X 3X 2X X 3X X generates a code of length 63 over Z5[X]/(X^2) who´s minimum homogenous weight is 240. Homogenous weight enumerator: w(x)=1x^0+876x^240+420x^242+600x^243+2208x^245+460x^247+500x^248+2348x^250+600x^252+400x^253+2812x^255+740x^257+800x^258+1876x^260+280x^262+200x^263+432x^265+28x^270+12x^275+4x^280+20x^285+8x^290 The gray image is a linear code over GF(5) with n=315, k=6 and d=240. This code was found by Heurico 1.16 in 1.18 seconds.