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 1 1 1 1 0 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 3X 2X+1 2X+3 X+3 1 2X+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 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 2X+2 X+1 X+2 X+3 X+2 X+3 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 X 0 4X X 0 3X 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+400x^366+740x^367+620x^368+1100x^369+1000x^370+2180x^371+2480x^372+1520x^373+2100x^374+1200x^375+3180x^376+4200x^377+2500x^378+3200x^379+1448x^380+4020x^381+4020x^382+2360x^383+2800x^384+1528x^385+3920x^386+4880x^387+2660x^388+2620x^389+1300x^390+3160x^391+3600x^392+1540x^393+1840x^394+1160x^395+2220x^396+2020x^397+1040x^398+960x^399+384x^400+760x^401+560x^402+260x^403+380x^404+56x^405+160x^406+16x^410+20x^415+4x^420+4x^425+4x^440 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 15.4 seconds.