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 1 1 1 1 1 1 1 X 1 1 1 1 1 1 X X 1 1 X 1 X 1 1 X 1 1 X 1 1 1 1 1 1 1 1 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 2X 4X X 4X 4X 3X 3X 2X 2X 2X X 4X 2X 4X 3X 0 4X 4X 3X X 3X 4X 4X X X X 4X 3X 4X 3X 3X 0 4X 4X 3X 0 2X 3X 3X X 4X X 0 0 3X 2X 4X X 4X 4X 2X 0 X 3X 4X X 4X 4X 2X 3X 2X X X X 4X 0 0 4X X X 3X X 3X X 2X 3X 2X X X X 0 2X X 2X 4X 0 0 0 X 0 0 0 0 0 X X 4X 2X 4X 0 3X 4X 3X 2X 0 2X X 2X 0 3X 2X 2X 0 2X X 4X X 0 2X 4X X X 0 2X 4X 0 2X 2X 2X 4X 2X 3X X 0 0 4X 4X X 3X 4X 3X 4X 3X 3X 0 X 3X 0 0 2X 2X 3X 4X 0 2X 4X 0 3X 2X 2X 0 2X 3X X 2X X X 2X 4X 4X 0 X 3X 0 0 X 2X 4X X X 2X 2X 3X 3X X 0 0 0 X 0 0 X X 3X 4X 3X 0 2X X 2X X 0 X 2X 4X 2X 3X 2X 4X 0 2X 2X 0 4X 3X 3X 4X 4X 0 2X 2X X 3X 2X 2X 2X 4X X X 0 0 0 2X 0 4X X 0 X 2X 2X 3X 0 0 2X 2X 2X X 0 2X 3X X 4X X X 3X 2X 3X 0 4X 4X X 2X 3X 0 2X 0 0 4X 2X X 3X 4X 4X 4X 2X 3X 3X 4X 3X X 2X 0 3X 2X 0 0 0 0 X 0 3X 2X 3X X X 4X X X 4X 3X 2X 3X 3X X 0 2X 2X X X 3X 4X X 0 2X 3X 0 2X X 2X X 4X 4X 4X 0 3X 4X 4X 4X 2X X 3X 0 2X 4X X 3X 0 4X 4X X 2X 3X 4X X 0 X 4X 3X X 4X X 2X 0 0 3X X 2X 3X 0 0 X X 0 4X 4X 0 4X 0 4X 4X 0 X X 2X 3X 2X 3X 3X X 4X 0 3X 0 0 0 0 0 0 X 3X X 4X 3X X 3X 0 0 2X X 2X 3X 2X 2X 3X 2X 4X 3X 0 4X 3X 2X X 2X 2X 3X 4X X X 0 0 4X 4X X 0 3X X 3X 3X 3X 3X X X 4X 2X 2X 0 4X 4X 2X 0 4X X 4X 0 3X 4X 0 2X 3X 2X 4X 2X 3X 4X 3X X 2X 0 4X X 2X 2X 2X 2X X 0 X 2X 3X X 2X 4X 3X 2X 3X 0 0 0 3X X 4X 2X generates a code of length 99 over Z5[X]/(X^2) who´s minimum homogenous weight is 360. Homogenous weight enumerator: w(x)=1x^0+276x^360+788x^365+912x^370+1180x^375+380x^378+1280x^380+1600x^383+1420x^385+7300x^388+1272x^390+17200x^393+1392x^395+22900x^398+1280x^400+13120x^403+1092x^405+1144x^410+1124x^415+880x^420+744x^425+348x^430+216x^435+156x^440+72x^445+40x^450+4x^460+4x^470 The gray image is a linear code over GF(5) with n=495, k=7 and d=360. This code was found by Heurico 1.16 in 43.2 seconds.