The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 4X 3X 1 1 1 X 1 1 1 1 1 0 1 1 4X X 2X 1 1 1 1 4X 1 1 1 1 1 1 1 1 1 1 1 1 X 4X 1 1 1 1 1 1 1 1 1 1 1 1 3X 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 2X 1 2X 1 1 1 1 1 4X 1 1 1 1 0 1 0 0 X 4X X 3X+1 4X+1 3X+3 3X+2 4 1 4X+1 X+1 3 3X+2 1 1 X+4 3X+3 2X+2 1 X+4 4X+3 4X+3 X+2 2X+2 1 4X+4 4X+4 1 1 2X 2X+1 4 3X+2 X 1 3X+1 2X+3 X+1 0 X+2 1 3X+2 4X 4X 4 2X 3X+4 1 1 2X+1 X+3 4X+3 2 3 3X+4 2X+3 4X+2 1 X+4 2X+2 0 1 4X+1 X+4 4X+1 1 1 2X+3 2X 3X+3 X+2 4X+3 4X 4X+4 3X+3 4 2 X+3 1 X+2 1 2X 4X+4 3X+4 2X+1 X+1 0 4X+3 4X+1 2X+1 X+4 0 0 1 1 3X+2 4 3X+3 4X+3 X 2X+4 X+4 4 2X+4 2 3X+1 2X 1 4X+4 4X+1 3X+1 4X+1 4X+2 X+2 X 2X+3 2 2X+3 2X 2X+3 3X+3 3X+2 2X 4X+2 1 4X+1 4X+2 4X+4 4X+2 2X+4 2 0 3X+4 3X 3X+2 3X 2X+1 4X+1 2X+4 4 4X+4 1 3X+1 4X 2 4X+2 2X+1 3X+2 3 4X 2X+1 3 3X+3 4X+4 3 X+2 1 3X+2 4X+3 2X+4 X+3 4 3X+4 1 4X 4X+3 2X 3X+3 4X+1 2X+2 X+2 3X+1 3X+4 3X+2 3X+4 2X+1 2X+4 4X+4 X+2 X+3 2X+2 1 4X+3 X 4X+2 3X+1 0 0 0 3X 3X 3X 0 0 0 0 2X X 4X 3X 2X 0 0 4X X 3X 2X 3X 3X 4X 3X 4X 0 4X 3X X 2X X 0 3X X 4X 3X X 2X X X 3X 4X X 2X 4X 4X 0 2X 4X 2X 0 3X 0 0 X 4X X X 3X 2X 2X 0 X 0 4X 4X 2X 2X 3X X 2X X 2X 3X 4X X 4X X 0 X X X 4X 4X 4X 4X 3X X 0 2X 2X 3X 4X X generates a code of length 95 over Z5[X]/(X^2) who´s minimum homogenous weight is 362. Homogenous weight enumerator: w(x)=1x^0+520x^362+400x^363+1180x^364+388x^365+860x^366+2600x^367+2300x^368+2940x^369+904x^370+1080x^371+4160x^372+2780x^373+4200x^374+960x^375+1360x^376+5020x^377+3700x^378+4540x^379+1228x^380+1480x^381+4700x^382+3340x^383+3760x^384+936x^385+1340x^386+4060x^387+3080x^388+3700x^389+800x^390+940x^391+2760x^392+1520x^393+1760x^394+288x^395+380x^396+1080x^397+380x^398+420x^399+80x^400+60x^401+100x^402+4x^405+20x^410+4x^415+4x^420+4x^430+4x^440 The gray image is a linear code over GF(5) with n=475, k=7 and d=362. This code was found by Heurico 1.16 in 15.1 seconds.