The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 X 1 X 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 2X 4X X X 2X 2X 2X 4X 3X 4X 2X 3X 2X 2X 2X 3X 4X 4X 4X 0 3X X X X 3X 3X 4X 2X 2X X 0 2X 4X 4X X 0 0 0 X 3X 4X 3X 4X X 2X 0 3X 3X X X 4X 0 2X X 2X 2X 0 X 0 X 3X 0 X 2X 2X 2X 3X 2X 0 X X X 0 0 2X 2X 2X 2X X 2X 3X X X 3X 0 0 0 X 0 0 0 0 0 X X X 3X 4X 0 4X X 4X X 4X 4X X 3X 0 4X 2X 2X 4X 0 X X X 2X 4X X 3X 3X 0 X 2X X 3X 0 X 3X 0 4X 3X 0 3X 0 X 4X X 4X 3X 4X 0 2X 2X X X 4X 4X 2X 4X 0 0 2X 3X 0 X 3X 2X 4X 4X 3X 2X 0 4X 2X 0 4X 2X 0 X X 0 2X 0 X 2X 3X X X 4X 2X 4X 0 0 0 0 X 0 0 X X 3X 4X 2X 3X 3X X X X 2X 4X 2X 4X X 4X 2X 0 3X 0 3X 0 2X X 2X 2X 4X 4X 0 4X X 3X 0 X 4X 4X 4X 0 2X 4X 0 2X 4X 0 3X 4X 2X 3X X 4X 3X 0 4X 4X X 3X 3X 0 0 4X 4X 0 0 X 0 3X 0 3X 0 3X 4X X 0 X X X 0 3X X 2X 2X 4X 4X 3X 2X 3X 4X X 0 2X 3X 3X 0 0 0 0 X 0 3X 2X 3X X 3X 3X 3X X X 4X 4X 4X 0 2X 0 0 X 4X 0 X 0 0 X 3X 4X X X 0 2X X 2X X X 4X 0 4X 3X 0 0 3X X X 2X X 4X 0 3X 4X X 4X 0 3X 4X 3X 2X 4X 4X X 3X 4X 3X 0 4X 0 0 2X 3X 2X X 0 X 2X 4X 4X 4X 2X 0 4X 3X 0 3X 3X 0 3X 4X 2X 0 X 4X 0 4X 0 0 0 0 0 0 X 3X X 4X 3X 2X 0 2X 0 3X 3X 0 X 4X 4X X 0 4X 3X 0 X 4X 2X 4X 4X 3X 4X 2X 3X 2X 0 2X X 2X 3X 3X 2X X 4X X 4X X X 3X 3X 2X 0 2X 0 4X 3X 2X 0 2X 3X 3X 2X 4X 0 0 X 4X 3X 4X X 3X 3X X 4X X 4X 4X X 0 0 2X 0 3X 3X 4X 2X 2X 3X 2X X 2X 4X 3X 2X 0 3X 3X 4X generates a code of length 98 over Z5[X]/(X^2) who´s minimum homogenous weight is 355. Homogenous weight enumerator: w(x)=1x^0+200x^355+680x^360+956x^365+1168x^370+380x^374+1180x^375+1600x^379+1280x^380+7300x^384+1264x^385+17200x^389+1400x^390+22900x^394+1316x^395+13120x^399+1252x^400+1188x^405+1048x^410+1056x^415+660x^420+392x^425+304x^430+208x^435+48x^440+16x^445+8x^455 The gray image is a linear code over GF(5) with n=490, k=7 and d=355. This code was found by Heurico 1.16 in 42.6 seconds.