The generator matrix 1 0 0 0 1 1 1 1 1 1 1 1 2X 4X 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 X 1 2X 1 4X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 0 1 2X X 1 1 1 1 1 1 X 1 0 X 1 1 1 1 1 1 X 1 1 1 X 1 1 1 1 1 1 3X 1 0 1 0 0 3X 4X 3X+1 4X+1 1 3X+2 4 3X+3 1 1 2X+4 X+4 1 2 4X+3 X+3 X+4 1 3X+4 X+1 4X+2 3X 2X+2 3X+1 2X+2 2X 2X+2 X+1 1 X+3 1 2X+3 1 2 X+3 2 4X+2 4X+1 4 X X+1 4 3X 2X+3 3 3X+4 0 4X 3X+3 4X 4 3X+4 X 1 3X 2X+4 X 4X+3 4X 3 1 4X+4 1 1 4 2X+4 0 3X+4 X+4 2 1 4X 1 1 2X+3 3 4 3X 4X+3 X+3 1 4X+3 4X+3 0 3X X+1 3X+1 X+4 3X+1 4X+2 4X+1 1 X 0 0 1 0 3X+1 3X+2 3X+3 1 4X+2 X+1 2 2X+3 3X+2 2X+3 2X+1 X+3 X 4X+2 X+2 X+2 2X+3 X+1 3X 3X+4 4X 1 4X+3 0 3 3X+1 2X 4X+1 3 4X+1 4 2X+4 0 X+1 3X+1 4 4X+4 2 0 3X 4 3X+4 3 3X+2 2X+3 3X+4 4X 4X+4 X 4X+3 3 2 X 3X+1 2X+3 X+2 4X+4 X+4 2X+1 3X+3 3 4 2 X 3X+3 2X+2 3X+4 X 3X+3 4X 2 X+1 X+4 X+1 3X+4 3X+4 0 4X+4 4X+4 0 4X+2 3X+2 2X 3X+1 1 3X 3 2X+3 4X+2 3X 3X+1 2X+3 3X 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4 4X+4 3X 3X 1 X+2 2 X+4 4X+1 2X+1 3X+4 4X+2 X 2X+4 4 1 4X+1 X+3 2X+3 X+4 2X X+2 3X+4 3X+4 3X+1 X+2 X+1 4X+2 4X+2 3X+4 2X+4 3 4X+4 0 3 0 4X+3 2X+3 3 2X 2X+1 3X+4 X+2 4X+3 2X+3 3X+3 X X+1 2 2X+2 3X 2X+2 2 3X+2 3X 2X+1 4X+4 2X 3 2X+2 3 4X X+2 2X+1 4X+2 4 4X+4 3X+1 3X+3 2X+4 X X+4 X+2 X+1 2X+4 4X+2 4X+1 3X+1 3X+3 3 3X+1 4X+1 2X+3 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+960x^365+820x^366+1300x^367+800x^368+1560x^369+5244x^370+5040x^371+4360x^372+3480x^373+3660x^374+10236x^375+8940x^376+7940x^377+5440x^378+6220x^379+17348x^380+14380x^381+10520x^382+8360x^383+8740x^384+23360x^385+19600x^386+15320x^387+9940x^388+9520x^389+26848x^390+20300x^391+14820x^392+9680x^393+9340x^394+23916x^395+18020x^396+11780x^397+6640x^398+6020x^399+13296x^400+8460x^401+5120x^402+2720x^403+2240x^404+3888x^405+1760x^406+1260x^407+440x^408+200x^409+496x^410+180x^411+80x^412+8x^415+12x^420+8x^425+4x^445 The gray image is a linear code over GF(5) with n=485, k=8 and d=365. This code was found by Heurico 1.16 in 363 seconds.