The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 X 1 1 1 1 1 1 1 1 1 0 1 1 1 1 2X 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 0 1 1 1 1 1 X 3X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 2 4 3 3X+1 0 2 1 3 3X+4 0 3X+1 3X+4 1 2 3 1 2 3X+4 0 3 3X+1 X+2 4X+1 X X+3 1 3X+4 X+3 4X+4 2X+2 1 X 4X+1 3 4X+2 4X+4 3X+1 4X 4X+4 1 X 1 2X+2 X+4 4X+2 X X+3 1 4X+1 4 2 4X 2X+2 1 1 X 4X 4 X+3 2X+3 4X+3 2X+2 X+1 X X+1 3X+3 4X+2 4X+2 1 4X+3 X+4 4X+4 3X+1 1 X 3X X+1 X+3 3X 4X+2 3X+1 0 0 2X 4 X+1 X+4 4 3X+2 3X+4 4X+1 1 X+3 3X+4 0 0 3X 0 0 0 0 X 2X 3X 2X 3X 2X 4X 0 2X 2X 2X 2X 3X X 2X X X 4X 4X 3X 4X 2X 3X 2X 2X 3X 0 4X 0 4X 3X 4X 4X X 2X X 2X 2X 3X 0 4X 3X 3X 0 3X 3X 4X 3X 0 X X 2X 0 4X 3X 4X 0 3X X 2X 0 0 X 2X 4X 3X 4X 2X 4X X 3X X X 2X 4X 2X 3X X 2X 2X 4X 2X 2X X X 3X 0 0 3X X 0 0 0 X 0 X 3X 3X 0 2X 2X 4X 2X 2X 3X 0 2X X X X 0 4X X 4X 3X 2X 2X X 0 2X 4X 0 X X 3X X 3X 2X 2X 0 0 0 2X 3X 0 4X 3X X 3X 4X 2X X 2X 3X 2X 3X 4X 4X 3X X 4X 4X 4X 0 X 3X 2X X 4X X 3X 2X X 2X 3X 0 X 2X 0 X 2X 2X X 0 3X X 3X 2X 0 3X 0 2X 2X 3X X X 0 0 0 0 0 3X 3X 2X 4X 4X X 4X 4X 2X 0 0 0 3X 2X 3X 2X X 2X 4X 3X 2X 3X X 0 4X 0 X 3X 0 X X 4X 3X 4X 4X 3X 4X X X X 2X 4X 3X X 4X X 3X 0 X 0 3X 0 4X 0 0 0 2X 0 3X 3X 3X X 4X 3X 2X 2X 4X 0 2X 2X 0 X X 0 X 3X X 2X 4X 4X 0 3X 4X 0 X 2X 4X 4X 2X X X 0 3X generates a code of length 97 over Z5[X]/(X^2) who´s minimum homogenous weight is 365. Homogenous weight enumerator: w(x)=1x^0+264x^365+140x^366+120x^367+200x^368+260x^369+1072x^370+560x^371+900x^372+600x^373+860x^374+2612x^375+1220x^376+1380x^377+1560x^378+1700x^379+3156x^380+1560x^381+1740x^382+1960x^383+2200x^384+5460x^385+2720x^386+2400x^387+2960x^388+2900x^389+6972x^390+2780x^391+2880x^392+3060x^393+2740x^394+5596x^395+2260x^396+2100x^397+1860x^398+1540x^399+2208x^400+1100x^401+820x^402+300x^403+300x^404+284x^405+160x^406+160x^407+108x^410+96x^415+108x^420+76x^425+32x^430+32x^435+8x^440+24x^445+8x^450+8x^455 The gray image is a linear code over GF(5) with n=485, k=7 and d=365. This code was found by Heurico 1.16 in 19 seconds.