The generator matrix 1 0 1 1 1 1 1 1 1 1 1 0 1 1 1 0 1 1 1 1 1 X 1 1 1 1 3X 1 1 1 1 1 3X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 1 1 1 4X 2X 2X 1 3X 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 3X 1 1 1 2X 1 1 1 2X 1 3X 1 X 1 1 1 1 0 1 1 2 3X+4 3 0 3X+1 2 3X+4 3 1 0 3X+4 3 1 3X+1 2 4X+1 X+2 X+3 1 4X+1 X+2 X 4X+4 1 4X+4 X 4X+4 2X+2 3X+2 1 X+2 3X+1 4X+3 3X 2X+4 X 2X+1 3 1 3X+4 2 2X+3 2X+4 3X+3 1 2X+4 4X+4 3X+3 4X 3X+2 X+4 1 1 1 3X+3 1 4X+1 4X+4 2X+2 2X+2 0 2X+4 4X+1 3X+3 X 3X+1 1 4X 3X 4X+2 4X X+1 1 X+2 1 4X 1 3X+2 1 4X+1 2X+4 4X 1 2X+2 1 3X+4 X 2X+1 2X 4X+3 3X+2 0 0 3X 0 3X 2X 0 4X 2X 4X X 3X 2X 0 3X 3X 3X 0 X 0 X 0 4X 2X 4X 2X 2X X 2X X 3X 4X 0 X 3X 0 4X 4X 3X X 2X 0 3X 4X 3X 2X 3X 4X 2X 0 4X X 4X 4X 4X 3X 3X 0 4X 2X 0 3X X 2X 4X X 0 4X X 2X 0 X 4X 2X 2X 2X X X 3X 0 3X X 0 2X 3X X X X 3X 0 4X X 4X 0 0 0 0 X 3X X 2X 3X 0 2X 3X X 2X 3X X 3X 4X 2X X 4X 2X 4X 4X 4X 2X X 3X 3X 3X 4X X 4X 3X X 2X 3X 3X X 3X 0 0 0 0 0 4X 2X 2X 0 3X X 0 0 2X 4X X 4X 0 2X 4X 3X 4X 0 4X X 0 3X 4X X 2X X 4X X 3X 0 2X 4X 2X X X X 3X 0 2X 4X 4X 4X 0 2X 2X 4X 2X 4X X 3X generates a code of length 94 over Z5[X]/(X^2) who´s minimum homogenous weight is 363. Homogenous weight enumerator: w(x)=1x^0+940x^363+600x^364+108x^365+2100x^368+1060x^369+168x^370+2200x^373+1120x^374+132x^375+1560x^378+760x^379+96x^380+1420x^383+1000x^384+56x^385+1540x^388+340x^389+12x^390+240x^393+120x^394+16x^395+16x^400+8x^405+8x^435+4x^440 The gray image is a linear code over GF(5) with n=470, k=6 and d=363. This code was found by Heurico 1.16 in 0.877 seconds.