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 0 0 1 1 X 1 1 0 1 0 1 X 1 1 1 1 0 1 1 1 X 0 1 0 0 1 1 1 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 1 1 0 1 1 X X+1 1 X 1 0 1 X+1 X+1 X+1 X 0 X+1 X+1 X+1 X 0 0 1 1 X+1 0 0 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 X X X 0 0 0 X 0 X 0 X X X X 0 X 0 X 0 0 X X X 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 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 X X X X X 0 0 X 0 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 X 0 X X X 0 X X X 0 X 0 0 0 X 0 0 0 0 X 0 0 0 0 X 0 X 0 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 0 0 0 X X X 0 X 0 X X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 X 0 0 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 0 X X 0 X X 0 X 0 0 X X X X X 0 X 0 0 X X X 0 X 0 0 0 X X 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 X 0 0 0 X 0 X 0 0 X X 0 X X X 0 0 X X 0 X 0 X 0 0 X X 0 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 X 0 X X 0 X 0 0 0 0 X X 0 0 0 0 0 0 X X X X X 0 X 0 0 0 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 X X X X 0 0 0 X 0 0 0 X X X 0 0 0 X X X 0 X 0 X 0 0 0 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 X X 0 X X 0 0 0 X X X X 0 X 0 X X X X 0 0 X X 0 0 X 0 X X 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 0 X 0 X 0 X 0 0 0 0 X X X 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 0 generates a code of length 55 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+145x^40+22x^42+514x^44+358x^46+1271x^48+1156x^50+2386x^52+2080x^54+2964x^56+1726x^58+1848x^60+662x^62+769x^64+136x^66+266x^68+4x^70+63x^72+10x^76+3x^80 The gray image is a linear code over GF(2) with n=110, k=14 and d=40. This code was found by Heurico 1.16 in 43.6 seconds.