The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 1 X 0 0 1 1 1 X 1 1 0 X 1 X 1 1 X X X 1 1 1 0 0 X 1 1 1 X 1 1 1 0 1 0 1 0 1 1 0 0 1 1 1 1 X X X 1 1 X+1 1 0 0 X X 1 1 1 X+1 1 X 0 1 X X 1 1 1 0 X 1 X 0 1 X X+1 1 1 X 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 1 1 0 1 0 0 X+1 1 1 1 X X+1 X+1 X 0 0 1 X 1 1 X 1 X X X+1 X X+1 1 1 X+1 1 1 1 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 0 X X 0 0 X X 0 0 X X X X X X 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X X 0 0 0 0 X X X 0 0 X X X X 0 X 0 X X X X 0 X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X 0 X 0 0 X 0 X 0 X 0 0 X 0 X X X 0 X X 0 X X 0 0 0 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X 0 0 X X X 0 X X X 0 0 X X 0 0 X X 0 X 0 X X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X X X X 0 0 X 0 X X X 0 0 0 0 X X 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 X X X X X X 0 0 0 X 0 X X X X X 0 X 0 0 X 0 0 0 X X X 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X 0 X 0 X X 0 X X X X 0 X X X X 0 X 0 X X X 0 X X 0 0 X X 0 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X 0 X X 0 X X 0 0 0 X 0 0 0 0 X X 0 0 X 0 X X 0 X 0 0 0 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+48x^36+18x^37+127x^38+98x^39+244x^40+294x^41+430x^42+454x^43+609x^44+740x^45+875x^46+1134x^47+1123x^48+1296x^49+1240x^50+1382x^51+1157x^52+1194x^53+905x^54+766x^55+663x^56+454x^57+384x^58+242x^59+195x^60+96x^61+105x^62+18x^63+48x^64+4x^65+24x^66+2x^67+7x^68+4x^70+1x^72+2x^74 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 25.6 seconds.