The generator matrix 1 0 1 1 1 1 1 1 1 0 1 1 1 1 1 1 1 X 1 1 1 1 1 X 1 1 1 1 1 0 1 1 3X 1 1 3X 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 1 1 1 2X 1 1 1 1 1 2X 1 1 1 1 3X 1 1 1 1 1 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 0 1 1 2 3X+4 3 0 3X+1 2 1 3X+4 3 X X+2 4X+4 3X+1 X+3 1 X+2 X 2X+1 4X+4 X+3 1 2X+1 3X+2 X+4 0 3 1 3X 3X+3 1 3X 3X+3 1 4X+1 4X+1 2 3X+2 3X+4 X+4 X+1 3X+3 1 X 2X+2 4 X+1 2X 2X+2 4X+4 X+3 1 3X X+1 2X+2 X+4 2X+3 1 2X 4X+1 4 2X+3 1 3X+2 4 2X X+2 3X+1 4X+3 1 2X+1 2X+2 2X+4 X+1 3X 2X+3 X+2 3X+2 X+4 2X+4 1 1 2 2X+4 3X+2 3X+1 3X+4 1 2 3X 0 0 0 3X 2X X 0 4X 2X X 2X 3X 4X 2X 3X 4X 4X X X 0 3X X 0 2X 3X 0 4X 2X X 3X 4X 0 4X 2X 2X 2X X 0 X 4X 3X 2X 0 3X X 0 X 2X 3X 4X 4X 0 X 3X 3X 3X 2X X 4X 0 4X X 3X X 3X 3X 0 0 2X 2X X 4X 0 4X 3X 2X 0 4X 2X 4X X 3X 4X 2X X 3X X 2X 3X 0 0 0 2X 2X generates a code of length 93 over Z5[X]/(X^2) who´s minimum homogenous weight is 365. Homogenous weight enumerator: w(x)=1x^0+156x^365+360x^366+180x^367+608x^370+740x^371+240x^372+216x^375+260x^376+20x^377+20x^380+60x^381+20x^382+84x^385+40x^386+40x^387+32x^390+40x^391+4x^395+4x^400 The gray image is a linear code over GF(5) with n=465, k=5 and d=365. This code was found by Heurico 1.16 in 0.153 seconds.