The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 1 0 0 0 1 X 1 0 1 1 1 1 1 1 0 1 0 1 X 1 1 X 1 1 1 0 X X 1 1 X 1 1 1 1 X X 0 1 0 1 0 1 1 0 0 1 1 1 1 0 X+1 0 X 0 X 1 1 1 X+1 1 X 0 X+1 0 X+1 1 1 0 1 1 1 X+1 X 1 X X 0 1 0 1 0 1 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 0 1 1 1 0 1 1 X+1 X+1 1 0 X X X+1 X+1 0 X+1 X X X+1 X X+1 X 0 X+1 0 X+1 1 0 X+1 X+1 X X+1 1 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X 0 0 X X 0 X 0 X X 0 X X 0 0 0 X 0 X X X 0 0 0 0 X 0 X 0 X 0 X 0 0 0 0 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 X X X X X X X X X X X 0 0 X X X 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 X X X X X 0 X X 0 X X X 0 X 0 0 0 X X X 0 X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 X 0 X 0 0 X X X X 0 X 0 X X X 0 X X X X 0 0 0 X 0 X 0 0 X X 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 0 X X X X 0 X 0 X X X X 0 X X 0 0 0 X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X 0 X 0 X 0 X X X X 0 0 X X X 0 X 0 X X X X X 0 X X 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 0 X X 0 0 X 0 X X X X 0 0 X X 0 0 0 X X X X X 0 0 X X X 0 X 0 0 0 generates a code of length 53 over Z2[X]/(X^2) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+148x^40+222x^42+767x^44+864x^46+1699x^48+1956x^50+2550x^52+2298x^54+2376x^56+1398x^58+1232x^60+388x^62+376x^64+40x^66+58x^68+2x^70+7x^72+1x^76+1x^88 The gray image is a linear code over GF(2) with n=106, k=14 and d=40. This code was found by Heurico 1.16 in 27.9 seconds.