The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 X 3X 1 2X 1 1 1 1 0 1 1 2 4 3 3X+1 0 2 1 3 3X+4 0 3X+1 3X+4 3 1 2 0 3 1 3X+4 3X+1 2 X+3 X+2 3X+4 1 X+2 X 4X+4 3X+1 2X X+3 X+2 X X+1 2X+4 2X+3 4X+2 X+2 3X 2X+1 2X 4 2 1 3 X+1 3X+1 4X+2 1 1 2X 1 2X X+2 3X+4 X 0 0 3X 0 0 0 0 X 2X 3X 2X 3X 2X 4X 0 2X X 3X 2X X X 3X 2X 0 2X X 4X 2X 3X 0 0 X X 4X 3X 0 3X 3X 3X 4X 4X 4X 3X 2X 3X 2X 2X 0 0 3X 4X 0 3X 4X 2X 0 3X 4X 3X 0 0 0 X 0 X 3X 3X 0 2X 2X 4X 2X 2X 3X X 0 2X 3X X 3X 0 0 3X 2X X 2X 4X X X 2X X 3X X X 0 3X 4X 2X 4X 0 0 0 4X 0 3X 4X 2X 2X 3X X X 4X X X X 3X 2X 3X 0 0 0 0 3X 3X 2X 4X 4X X 4X 4X 2X 0 0 2X 3X 3X 0 X 0 X 3X 4X 3X 3X 2X X X X 2X 2X 0 2X 3X X X 3X 0 2X 4X 0 3X 2X 0 X 2X 4X X 0 4X X 4X 0 4X 3X X 0 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+208x^215+340x^218+80x^219+1160x^220+1840x^223+700x^224+3524x^225+3180x^228+1900x^229+5956x^230+5480x^233+3300x^234+11916x^235+6980x^238+4500x^239+12056x^240+5640x^243+2020x^244+5116x^245+1540x^248+208x^250+156x^255+140x^260+96x^265+44x^270+32x^275+8x^280+4x^285 The gray image is a linear code over GF(5) with n=295, k=7 and d=215. This code was found by Heurico 1.16 in 11.1 seconds.