The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 1 1 0 1 0 0 1 1 1 1 0 X X 0 1 1 1 X 1 0 1 1 1 0 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 X+1 0 1 0 1 0 X+1 1 0 1 1 X+1 X X X+1 1 1 1 1 0 1 X X 0 0 1 0 X 1 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 0 0 0 0 X 0 X X 0 X 0 0 X X 0 0 X 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X 0 X X X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 X 0 0 0 X 0 X X X 0 0 0 X 0 0 X X X X 0 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X 0 X X X X 0 0 X 0 X 0 0 X X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X X X X X 0 0 0 X X X 0 X X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 0 X X X X X 0 0 0 X X X 0 0 0 X X X X 0 X X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 0 X 0 X X 0 0 X 0 X X 0 X 0 X 0 0 0 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X 0 X 0 X X X X 0 X 0 0 0 0 X 0 X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X 0 0 X 0 X X X X X 0 0 0 X 0 X X 0 X X 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X 0 X 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 0 X 0 X X X X 0 0 generates a code of length 50 over Z2[X]/(X^2) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+172x^36+44x^38+626x^40+448x^42+1501x^44+1428x^46+2754x^48+2272x^50+2931x^52+1492x^54+1525x^56+416x^58+549x^60+44x^62+144x^64+29x^68+5x^72+2x^76+1x^80 The gray image is a linear code over GF(2) with n=100, k=14 and d=36. This code was found by Heurico 1.16 in 29.4 seconds.