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 1 3X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 3X 1 1 1 1 X 2X 1 1 1 2X 0 1 1 1 3X 1 1 1 2X 1 1 4X 3X 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 0 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 4X+3 3X+1 X+2 1 X 2X+4 3X 2X+2 4X+3 3X+4 2 3X+1 0 2X+4 4X 2X+2 4 X+4 2X+2 1 X+1 X 4X+1 3X+1 1 1 3 4X+3 4X+3 1 1 4X+1 4X+4 2X+3 1 1 4X+2 3 1 X+3 X+3 1 1 3X 4X+3 1 2X+2 1 2X+4 X 3X 2X+2 4X+2 2X+4 X X+3 4X+4 2 X+2 4X X+3 3X 4 1 2X X+2 3X+4 2X+3 1 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 0 3X X 0 3X 4X 4X 3X 0 4X X X 2X 3X 3X 2X 0 2X X 2X 0 4X 2X X 3X X 4X X 2X 2X X 4X 3X 0 3X 3X 3X 2X 4X 4X 3X X 0 0 2X 4X 3X 0 0 X 0 4X 4X 2X 2X 3X 3X 4X 2X 4X X 0 X 4X 3X 4X 3X 4X 4X 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 3X 2X X 3X 3X X 3X X 2X 4X 4X 3X X 2X 4X 2X 4X 4X 2X X 3X X 3X 4X 4X 2X 4X X 2X 4X 4X X X X 2X X 2X 4X 2X 2X 4X X X X 3X 2X 3X 2X X 2X 4X 3X 4X 2X 4X 3X 0 0 3X 4X 4X 3X X 0 X 3X 4X X X generates a code of length 99 over Z5[X]/(X^2) who´s minimum homogenous weight is 383. Homogenous weight enumerator: w(x)=1x^0+920x^383+432x^385+3080x^388+920x^390+2660x^393+488x^395+1760x^398+532x^400+2060x^403+472x^405+1540x^408+232x^410+480x^413+16x^415+4x^420+8x^425+4x^430+8x^435+4x^445+4x^460 The gray image is a linear code over GF(5) with n=495, k=6 and d=383. This code was found by Heurico 1.16 in 28.7 seconds.