The generator matrix 1 0 0 0 1 1 1 1 1 1 1 3X 1 1 X 1 1 X 1 1 1 1 1 1 3X 1 1 1 1 X 1 1 1 1 1 1 4X 1 1 1 1 1 1 4X 1 X 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 0 1 1 X 1 1 1 1 1 3X 1 1 3X 1 1 1 1 1 1 1 1 0 1 1 1 3X 1 1 2X 1 1 1 0 1 0 0 3X 4X X 3X 4X 4X X 1 X+3 4 1 3X+4 3X+3 1 X+4 4X+2 1 4 X+3 3X+3 1 4X 4X+4 X+2 3X 2X 2X+3 2X+2 2 3 3X+3 2X+1 1 3X+4 X+2 3X+3 2X+1 2X+1 X 1 3X+2 1 3X+2 2X+2 3X+4 3 3X+2 X+1 X+3 X+1 2 1 0 X+2 2X+2 X+3 3 1 4 3X+4 1 X+4 1 3X+1 2X+4 4X 1 3X+1 3X 1 4 2 2X X+4 X+1 4X+2 2X+2 X+3 3X 3X+1 0 X+1 X X+1 X+2 1 3 1 3X+1 0 0 1 0 3X+1 3X+2 X 3X+4 2X 3X 4X 0 4X+3 X+4 2 2X+3 4X+2 X+4 4X+1 0 2X+3 2X+2 4 2X+1 4X 4X+2 4X+4 4X+1 4X+3 1 2X+4 0 X+1 X+1 2X+2 4X+4 3X+2 X+3 3X+1 1 3X+3 4X 4X+4 X+1 X+4 3X+4 3X 2 X+2 3 2X+4 4X+4 X+3 2X+1 3X+1 X+4 3X+2 3 3X X 2 3 2X+1 X+4 4X+3 X+1 3X+1 3X+2 2X+3 4X+4 3 4X+1 3X+2 2 3X+2 3X+3 3X+3 0 X+2 4X+4 4X+3 X+4 1 X+4 4X+3 2 1 3X+4 X+1 1 X X+3 0 0 0 0 1 3X+3 3X+2 3X+4 4X+3 1 4X+2 3 3X+1 X+3 4X X+4 X+3 X+4 3X+4 3X 3X+2 2X+2 2X+2 4X+2 3X+4 X+3 4 4X+1 3X+1 1 3 4X X+4 X+3 0 3 4 X 4X+4 X X+2 3 3X+4 4X+4 2X+1 X+1 3X+3 3X+1 2X+4 3X+3 4X 4X+3 3X+1 X+1 X 3X+2 3X+2 4X 4X+3 3 3X+2 4X+1 2X X+2 2X+4 X+1 4 4X+2 X+4 4X 0 2X+2 3 2X+3 3 1 4X+4 X 3X+1 0 4X 2 2X+3 3X+1 0 3X+3 4X+1 3X 3 4X+4 2X X+4 X+4 4X+1 generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 350. Homogenous weight enumerator: w(x)=1x^0+1096x^350+1180x^351+1660x^352+2100x^353+1660x^354+5284x^355+4420x^356+6360x^357+5240x^358+3380x^359+11304x^360+8980x^361+10020x^362+7660x^363+5120x^364+16440x^365+14540x^366+14520x^367+10600x^368+7060x^369+23700x^370+18700x^371+18860x^372+13120x^373+7640x^374+25076x^375+18400x^376+18100x^377+13320x^378+7660x^379+20276x^380+14740x^381+12500x^382+7480x^383+3620x^384+9996x^385+6060x^386+4740x^387+2660x^388+1260x^389+2300x^390+480x^391+740x^392+320x^393+100x^394+136x^395+12x^400+4x^420 The gray image is a linear code over GF(5) with n=465, k=8 and d=350. This code was found by Heurico 1.16 in 393 seconds.