The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 3X 1 X 1 1 1 1 1 1 1 2X 1 1 X 1 1 1 X 1 1 1 3X 1 1 3X 1 4X 1 1 1 1 1 1 1 1 1 1 1 3X 1 X 1 1 1 0 1 1 1 1 3X 1 1 1 1 1 1 1 1 2X 2X 1 1 1 4X 1 1 1 2X 1 1 1 1 4X 1 1 1 1 1 1 1 0 1 0 0 X 4X 3X 3X+1 2 3X+4 3X+1 1 1 3X+3 X+1 1 4X+3 1 X+2 2X+4 2X+3 3X+4 4 4X+2 X+3 1 2 2X+3 1 X+4 2 2X+4 1 3X+2 X+1 1 1 X 3 4X 4X 1 4X+2 3X+1 2X+2 X+3 4X+4 4X+3 3X+2 2X+3 4X+3 0 X 1 X+1 X 2X+4 3X+4 3 1 X 2X+1 0 4X+2 1 4X+4 2X+1 3X+3 2X+2 X 3X+2 2 4X+4 1 3X X+3 3X+3 3X 1 2X+3 4X+4 3X+4 1 2X 4X+2 2 2X 1 4X+2 3X+3 X+4 2X 2X+4 2X+1 4X+4 0 0 1 1 3X+2 4 3 3X 2X X 3X+3 4 X+1 3X+4 2 3X+4 1 3X+1 4X+3 X+3 3X+3 4X+2 4X+1 3X+4 3X+2 4X+3 X+1 4X X+2 2X+4 2X+2 0 2X+1 3X+4 X+4 X X+4 2X 3X+4 1 4X+3 3X+1 X 4X+2 2 3X+1 4X+2 4X 2X+3 2X+2 4X+4 4X 2X+4 2X+4 3X+1 1 X+1 3X+3 2X 3 4 4X+2 X+1 4X+1 0 1 2X+1 X+1 4X+2 3X+3 4X+4 3X+1 3X+2 2X 1 3X+2 2X+4 2X+4 3 2 4X+3 X+2 X+1 2 X+4 3X+2 1 2X+2 2 4X+3 2X+1 X+2 2X+4 2X+4 2X+1 0 0 0 3X 3X 3X 3X 0 0 0 3X 4X X 4X 3X 0 4X 0 0 0 X 3X X 0 4X X 4X 2X 4X 0 X X X X 2X 3X 2X 2X 2X 4X X 4X X 2X 4X 3X X 3X 4X 3X X X 4X 4X 4X 2X 0 4X 4X 4X 0 4X 2X 0 3X 4X 3X 0 0 0 4X 2X 2X 4X 3X 0 3X X 3X X 3X 0 2X 0 3X 4X X 3X 2X 4X 4X 2X 2X 2X 0 generates a code of length 95 over Z5[X]/(X^2) who´s minimum homogenous weight is 363. Homogenous weight enumerator: w(x)=1x^0+580x^363+940x^364+2452x^365+440x^366+540x^367+2080x^368+2300x^369+4888x^370+740x^371+1060x^372+2800x^373+3020x^374+6120x^375+1100x^376+1000x^377+3760x^378+3640x^379+6944x^380+1080x^381+880x^382+3520x^383+3380x^384+5428x^385+720x^386+700x^387+2500x^388+2380x^389+4552x^390+620x^391+480x^392+1860x^393+1560x^394+2292x^395+260x^396+280x^397+400x^398+280x^399+400x^400+40x^401+60x^402+16x^405+12x^410+12x^415+4x^425+4x^440 The gray image is a linear code over GF(5) with n=475, k=7 and d=363. This code was found by Heurico 1.16 in 69.7 seconds.