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 X X 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 X X 4X 2X 3X 4X 3X 3X 3X 2X 2X 0 0 2X 2X 3X 3X 2X 2X 2X 0 0 2X 3X 4X 3X 0 3X 2X 3X 2X 4X 3X 4X X X X X 3X 4X 0 X X X 2X 2X 3X 3X 3X 0 2X 4X 0 0 X 0 0 X X 3X 4X 3X 0 X 2X 2X 4X 0 X 4X X 0 X 3X 3X X 4X 0 2X 2X 2X X 4X 4X X 3X 3X 4X 2X 0 X 2X 4X 0 X 4X 4X X 4X 2X 0 X 0 2X X 0 3X 3X 2X 4X X 0 0 0 X 0 3X 2X 3X X X 4X X 0 X 2X X 2X X 3X 2X X 0 4X X 3X 2X 4X 2X 3X 2X 2X 4X 0 3X 2X 0 2X 0 X 0 X 3X 0 X 2X 3X 3X 4X X 2X 4X X X 4X 4X 0 4X 3X 3X 0 0 0 0 X 3X X 4X 3X X 3X 4X 2X 0 0 X 3X 0 2X X X 4X 2X X 0 4X 0 4X X 4X X 2X 4X 2X 3X 2X 4X 2X 3X 2X 3X 3X 4X 4X 3X 3X X 2X 0 2X 3X X 3X 3X 3X 0 4X X 0 generates a code of length 59 over Z5[X]/(X^2) who´s minimum homogenous weight is 215. Homogenous weight enumerator: w(x)=1x^0+224x^215+396x^220+436x^225+500x^228+464x^230+4000x^233+340x^235+8000x^238+280x^240+236x^245+288x^250+152x^255+128x^260+96x^265+48x^270+20x^275+4x^280+12x^285 The gray image is a linear code over GF(5) with n=295, k=6 and d=215. This code was found by Heurico 1.16 in 0.961 seconds.