The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2X 4X 1 0 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 3X 1 1 2X 1 1 1 1 1 X 1 1 2X 1 1 1 2X 1 1 1 1 4X 1 1 1 0 3X 1 1 0 1 0 0 3X 4X 3X+1 4X+1 1 3X+2 4 3X+3 1 1 X+4 1 2 4X+3 X+2 1 2 2X+1 3X 2X+4 3 3X+2 2X+3 2X+2 4X+4 4X+1 4X 4 2X+3 1 2X 2X+1 4X+4 2X+4 2X+1 1 X+4 3X 1 3 2X+1 3X+3 1 X+1 1 4 2X+2 1 3 3X+4 3X+1 1 1 2X 3X+1 0 0 1 0 3X+1 3X+2 3X+3 1 4X+2 X+1 2 2X+3 3X+2 2X+3 X+3 1 3X X+2 3X+3 2X+4 4X+2 3X 4X 2X+1 X 4X+2 X+1 2X+2 4X 2X 1 4X+1 3 3X+4 3 2X+1 2X 3X+3 2X 2X+4 2X+3 2X+3 X+1 4X 2X+4 4X+1 3 3X 2X+2 2X+4 4X+1 X+1 3X+2 X+2 2X+2 2 4X+2 X 3 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4X+4 X+3 2X+4 X+4 X+2 2X 3X 2X+2 3X+1 3X 2X 4 X+1 3X+3 X+2 3 2X+4 3X+4 4X+1 X+3 3X+4 2 4 3X+3 3X+1 2X+2 2 2X+2 4 X+3 X+1 X+4 4X+3 X+4 4 2 0 X+2 4X+2 2X 2X+3 2X 3X+1 3X+1 X+2 generates a code of length 59 over Z5[X]/(X^2) who´s minimum homogenous weight is 216. Homogenous weight enumerator: w(x)=1x^0+860x^216+640x^217+1260x^218+1540x^219+1356x^220+4540x^221+4580x^222+5480x^223+5260x^224+3604x^225+9960x^226+11800x^227+9540x^228+10000x^229+7448x^230+19040x^231+21960x^232+17780x^233+14400x^234+11524x^235+27980x^236+30120x^237+21020x^238+19100x^239+12592x^240+26260x^241+25440x^242+17500x^243+12060x^244+5176x^245+11820x^246+7960x^247+4920x^248+2640x^249+1372x^250+2040x^251+12x^255+12x^265+12x^270+12x^275+4x^280 The gray image is a linear code over GF(5) with n=295, k=8 and d=216. This code was found by Heurico 1.16 in 204 seconds.