The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 X X 0 1 0 0 1 1 1 1 X 1 0 1 0 0 X 0 1 0 1 X 0 0 1 1 1 1 0 1 X 0 1 1 0 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X+1 X+1 0 X 1 1 1 X+1 X 1 X X+1 0 1 X X+1 0 1 1 1 1 1 1 X X 1 0 0 0 0 0 1 X 0 1 0 X+1 X 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 1 X X 1 0 X X+1 0 1 X+1 X+1 1 X X 1 X X 1 1 0 X+1 X 0 0 X 1 1 1 X 0 X+1 0 1 X X X 1 1 X+1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X+1 X+1 0 1 X+1 X X X X 1 X X X+1 X+1 1 X 1 X X+1 X 0 X X 1 0 1 0 1 X+1 X+1 0 0 X X+1 X+1 1 X+1 1 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X X X 0 X X X X X X 0 0 0 0 X X X 0 X X X 0 X 0 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X X X 0 X 0 X X X X X 0 0 X 0 0 X 0 X X 0 X X 0 X 0 0 X X X X X X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X X X X X X X 0 X 0 X 0 X X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X X 0 0 X 0 0 0 X 0 X 0 0 X 0 0 X X X 0 X 0 X 0 X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X X X 0 X X 0 0 X 0 X 0 0 0 X X 0 0 0 X 0 X X X X X 0 0 X 0 X 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X X 0 0 0 X 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X X X 0 0 0 X X X X generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+41x^42+88x^43+180x^44+236x^45+372x^46+446x^47+528x^48+658x^49+794x^50+882x^51+1030x^52+1138x^53+1146x^54+1186x^55+1161x^56+1190x^57+1017x^58+1044x^59+861x^60+664x^61+549x^62+362x^63+265x^64+182x^65+144x^66+82x^67+56x^68+26x^69+28x^70+6x^71+13x^72+2x^73+4x^74+1x^76+1x^78 The gray image is a linear code over GF(2) with n=110, k=14 and d=42. This code was found by Heurico 1.16 in 53.8 seconds.