The generator matrix 1 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 2X 1 1 1 1 X 1 3X 1 3X 1 1 1 1 1 1 1 1 1 2X 3X 1 1 1 1 3X 1 1 1 1 1 1 1 X 1 2X 1 X 1 1 1 1 1 1 1 1 2X 0 1 2X 1 1 1 2X 1 1 0 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 4X X X 1 0 1 1 1 0 1 0 0 X 4X 3X 3X+1 2 3X+4 3X+1 1 1 3X+3 3X+2 2 2X+3 1 2X+1 2X+4 4X+4 X+3 1 4X+3 1 3X+3 1 X+2 4X+4 3X+2 3X+4 X+2 X+3 X+1 4X+2 X+2 2X 1 X+4 2X+4 2X 4X+1 1 X+1 3X+2 4X+2 3X+3 X+1 3X 4X+1 1 X+2 1 4X+3 1 X+3 X+4 2X 3X 2X+3 4X+1 2X+1 1 1 0 4X+4 1 2X+3 4X+3 3X+2 1 4 4X 1 X+3 3X+3 0 4X+4 3 2X+3 1 1 4 X X+3 4X 2X+2 2X+4 4X+3 2X+2 X+4 1 4X 1 1 1 3 0 4X+1 0 0 1 1 3X+2 4 3 3X 2X X 3X+3 4 X+1 3X+1 4X+1 4X+2 X+3 2X+4 3X+2 3X+1 4X+2 2X+2 2X+3 X+4 3X+2 4X X+1 X+3 3 X+4 4X+4 4X+3 2 2X+1 4 3X 1 1 4X+4 0 4X+3 4X+3 X+2 0 2X+2 2X+1 4X+1 3X X 3X+4 2X+4 X+1 2X 2X+3 3 2X+1 3X+1 3X+4 0 X 2 2X X+4 2X+3 1 4X+2 2X+4 3X+3 4X+4 2X+3 X+3 X+1 1 4X+4 4X+3 2X+2 2X+2 3X+2 4X+4 2X X 3X+1 3X+3 4 2X+2 2X+1 3X+4 3 3X+1 X+3 3X+4 2 1 X+1 2X+3 X+4 2 2X+2 3X 0 0 0 3X 3X 3X 3X 0 0 0 3X 4X X X X 2X 3X 0 X 0 0 3X 0 X X 4X 4X X 2X 0 4X 4X 4X 0 X 2X 3X 2X 0 4X X 2X 0 3X 4X 3X 3X 4X 4X X 3X 2X 4X 4X X 4X 2X 2X 2X 3X 0 2X 2X 3X 4X 4X 4X X 2X 3X 2X 3X 4X 3X 0 0 4X 3X 4X 0 3X 0 X 0 X X 4X 0 3X 2X X 2X 2X 3X 4X X 0 X X generates a code of length 99 over Z5[X]/(X^2) who´s minimum homogenous weight is 379. Homogenous weight enumerator: w(x)=1x^0+1920x^379+904x^380+7640x^384+2064x^385+11720x^389+3016x^390+11820x^394+2812x^395+11860x^399+2804x^400+9200x^404+2296x^405+6040x^409+1356x^410+2120x^414+340x^415+180x^419+8x^420+4x^425+4x^430+4x^435+8x^440+4x^445 The gray image is a linear code over GF(5) with n=495, k=7 and d=379. This code was found by Heurico 1.16 in 17.3 seconds.