The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 0 1 1 X 1 0 1 1 1 1 0 1 1 1 X 0 1 0 1 1 X 1 1 1 1 1 X 1 X 1 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 X+1 0 1 1 X+1 X 1 X+1 1 0 1 X X+1 1 X+1 0 0 1 1 0 1 0 0 1 X+1 X+1 1 X+1 X+1 1 X X X+1 0 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 X X X X X X X X X X X X X 0 X 0 X X 0 X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X X 0 0 X 0 X X 0 0 0 0 X X X 0 X 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 0 0 X 0 X X 0 X 0 X 0 X X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 X 0 0 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X X X X X X 0 0 X 0 0 X X X 0 X 0 0 0 X X X 0 X 0 X 0 X 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 X 0 0 X X 0 X 0 X 0 0 X X 0 X 0 X X X X 0 X 0 0 0 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 X X 0 0 0 0 X 0 0 X X X X 0 X 0 0 X X 0 X 0 X X X 0 0 0 0 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 X X X X X X 0 X 0 X 0 X 0 X 0 X X 0 0 X X 0 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 0 X 0 0 0 0 0 X X X X X X 0 X X 0 0 0 generates a code of length 54 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+71x^40+67x^42+28x^43+205x^44+102x^45+207x^46+214x^47+396x^48+358x^49+394x^50+562x^51+454x^52+780x^53+506x^54+780x^55+481x^56+572x^57+452x^58+368x^59+289x^60+206x^61+259x^62+94x^63+121x^64+30x^65+115x^66+2x^67+28x^68+36x^70+2x^72+11x^74+1x^82 The gray image is a linear code over GF(2) with n=108, k=13 and d=40. This code was found by Heurico 1.16 in 8.41 seconds.