The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3X 1 3X 1 1 0 X 1 1 1 1 1 1 1 1 1 1 1 1 1 4X 1 1 1 X 2X 1 1 1 1 1 1 1 X 4X 1 1 4X 1 1 4X 1 1 3X 1 1 1 1 0 1 1 X 1 1 1 1 1 1 0 1 4X 1 1 0 1 0 1 1 1 3X 1 1 1 0 1 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 4X+2 1 4 1 4X+3 3X+2 1 1 2X+2 4X+2 X+4 3X+3 4X+3 4X+4 X+4 2X+2 3X+3 4X+4 4X+3 2X+3 4 1 X+1 3X+1 3X 1 1 3X 2X 4X+2 4X+4 3X+1 3X+4 4X+2 1 1 4X+3 2 3X X+2 1 1 X 4X+3 1 3X+2 X+2 2X X 1 3X+3 3X+3 1 2X+2 3X+2 1 X+3 4X+4 4 2X 0 1 X+1 3X+1 1 2X+1 2X 3X+2 X+1 3X+1 1 4X+2 2X+1 3X+4 0 2X+1 2 3X+4 X+3 X+3 0 0 1 1 3X+2 4 3X+3 4X+3 X 2X+4 X+4 4 2X+4 2 3X+1 2X 1 4 2X+1 4X+1 2X+1 X+2 4X+2 3 2X+3 4X 4X+2 X+2 2X+3 4X 3 X+4 2X+4 X+1 3 3X+2 X+2 4X+1 2X+1 X+3 X 2X+4 3X+2 4 3X+2 4X+1 0 4X+1 4 2X 3X 4X+1 X 2X 1 3X+3 3X+2 4X 3X+3 4X+1 2X+3 2X+1 X+2 X+2 X+3 3X+3 X+1 2X+2 4X+2 3X+1 X 2X+4 4 X+4 X+1 1 2X+4 4X 3X+2 3X+2 3X+4 4X+2 1 4X+3 4X X+1 4X 3X+4 3X+4 1 1 2X X+3 X+1 4X+2 3X+2 0 0 0 3X 3X 3X 0 0 0 0 2X X 4X 3X 2X 0 2X 4X 3X X 0 3X X X X 4X 2X 2X 2X 3X 0 3X X 2X 4X X 0 3X X 2X 2X 0 3X X 2X X X 0 2X 2X 2X 2X 3X 3X X 2X X 4X 4X 2X 4X 4X 4X 0 X 3X X 0 0 3X X 2X 3X 0 X 4X 4X 3X 0 2X X 4X 3X X 3X 3X 0 4X 3X 0 2X 4X 3X 4X 3X X generates a code of length 96 over Z5[X]/(X^2) who´s minimum homogenous weight is 366. Homogenous weight enumerator: w(x)=1x^0+740x^366+480x^367+560x^368+800x^369+512x^370+3060x^371+2440x^372+1100x^373+2060x^374+940x^375+5080x^376+3800x^377+1900x^378+2280x^379+1028x^380+5740x^381+3920x^382+2080x^383+2440x^384+1072x^385+5940x^386+3740x^387+1980x^388+2360x^389+1264x^390+4540x^391+3080x^392+1520x^393+1480x^394+468x^395+3460x^396+1940x^397+680x^398+840x^399+272x^400+1180x^401+600x^402+180x^403+240x^404+24x^405+260x^406+16x^410+8x^415+12x^420+4x^425+4x^435 The gray image is a linear code over GF(5) with n=480, k=7 and d=366. This code was found by Heurico 1.16 in 16.3 seconds.