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 1 1 1 1 1 3X 0 1 1 1 1 0 3X 1 1 X 1 1 4X 1 2X 1 1 1 X 4X 1 1 1 0 1 1 4X 1 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 1 2X 1 1 1 1 1 1 2X 1 1 1 1 1 0 1 0 0 3X 4X 3X+1 4X+1 1 3X+2 4 3X+3 1 1 2X+4 X+4 3X+4 X+1 0 2X+3 2 1 2X+4 3X+2 4X+2 3X+4 2X+1 X+3 X 3X+3 1 1 3X+1 2X 2X+4 X+4 4X 1 3 4X+4 1 3X X+2 2X 3X+1 1 2X+4 2X+3 X+1 1 1 3X+2 3X+3 2X+1 1 4X+1 4X+3 1 3X 3X+2 2X X 2X 4X+2 X+1 4X+4 4X+4 X+3 1 4 2 X+4 3X+3 4X 2X+1 X+3 3 2X+2 1 X X 1 3 1 3X+3 0 4X+4 4X+2 1 4X 2 X+2 2X+4 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 3X 3X+4 4X+4 2 4X+2 X+1 3X+1 X+4 2X+4 4X+4 4X+2 2X+4 3X+1 4 3X+2 3X+3 4X 4X X+2 X+4 1 X+1 3X X+1 4X+4 4 4X+2 1 3X+2 4X+4 3X 3X+2 2X+3 X+4 X+3 4X+1 3X+4 2X+2 4 X+1 0 X 2X+1 3X+3 4 2X+2 1 X+3 2X 3X+1 0 2X+1 3X+3 3X+4 3X+4 4X 3X+2 1 2X+1 4X+3 4X+1 2X+4 2 3X 3X+3 3X+1 4 4X+4 X+3 X+2 2 X+4 X+1 2 1 X+1 4X 1 0 0 0 1 3X+3 3X+2 4X+3 3X+1 X 4X+2 X+1 2X X+4 2 4 4X+4 4X+1 2X+1 3X+4 3X+2 3X X+4 1 4X 2 4X+4 3 2X+1 2X+4 3X 3X+3 X X+1 2X+3 3X+4 3 2 3 2X+3 2X+3 2X+2 3X+2 3X+3 X+1 1 X 3 4X+1 3X+4 3X+1 2X+3 2X+1 2X+2 2 2X+3 X+3 4 2X+1 2X+2 X+1 X+1 4X 4 X+2 X+3 0 3X 2X+4 0 2X 3 2 4X+3 2X+3 3X+2 2X+2 4X 4X+4 X 3X+2 1 2X+1 4X+3 X+3 4X+1 2 3X+2 1 3X 4X+1 0 4 2X+4 2X+2 generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 353. Homogenous weight enumerator: w(x)=1x^0+500x^353+880x^354+1076x^355+1160x^356+2160x^357+4100x^358+3660x^359+4904x^360+4520x^361+4960x^362+7680x^363+7000x^364+8732x^365+8220x^366+9500x^367+12800x^368+11720x^369+13164x^370+11240x^371+11540x^372+17080x^373+16120x^374+17156x^375+14440x^376+13980x^377+20060x^378+18380x^379+17800x^380+14160x^381+13540x^382+17060x^383+14260x^384+13320x^385+10080x^386+8760x^387+9580x^388+6680x^389+6068x^390+3160x^391+2740x^392+3160x^393+1220x^394+864x^395+520x^396+320x^397+480x^398+80x^399+16x^400+12x^405+4x^410+8x^415 The gray image is a linear code over GF(5) with n=470, k=8 and d=353. This code was found by Heurico 1.16 in 353 seconds.