The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 1 0 0 1 1 0 1 1 1 0 1 1 1 0 X 1 1 0 1 1 0 1 1 1 0 X 1 1 1 1 0 1 1 0 1 1 X 1 1 X 1 1 0 X 1 1 0 1 1 1 X 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 1 0 X+1 1 0 X X 1 X+1 1 1 1 1 0 X+1 1 X+1 0 1 X+1 0 0 1 1 X+1 X 0 X+1 1 X+1 0 1 X+1 X+1 1 X+1 0 1 X X 1 1 X X 1 X+1 1 1 1 X X+1 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X 0 0 X X 0 X 0 X 0 X 0 0 0 X 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 X X X X X 0 X 0 0 X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X X 0 X 0 X X X 0 0 X 0 0 X 0 X X X 0 0 0 0 0 0 0 X X X 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 X X 0 X X X X 0 X 0 0 0 X 0 X X X 0 X 0 X X X X X X X X X 0 X X 0 X 0 0 X 0 0 0 X 0 X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 X X X X X X 0 0 0 X X 0 X 0 X X 0 0 0 0 X X 0 X 0 0 0 0 X 0 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X 0 0 X X 0 X 0 X 0 X 0 0 0 X X 0 0 0 0 X 0 X X X X 0 0 0 X 0 X 0 0 0 X X 0 X X 0 X 0 0 0 0 X X X X X 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X X 0 X X 0 X X X X X 0 0 X X 0 0 0 0 X X 0 X X 0 0 X 0 0 0 0 X X 0 0 X 0 0 0 X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 X X X X X X X 0 0 0 0 0 0 X 0 X 0 X X X X 0 0 X 0 X 0 X X X X X 0 X X 0 X X 0 0 0 X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 X 0 0 0 0 X X 0 X 0 0 X X X 0 0 0 X X 0 X 0 0 X X X 0 X 0 0 X X 0 X 0 X X X X X 0 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 0 0 0 0 X X X 0 X 0 X X X X X 0 0 X 0 0 X X X X 0 X 0 0 0 X 0 0 0 X 0 X X 0 X 0 0 0 X 0 0 0 generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+185x^56+66x^58+507x^60+404x^62+981x^64+850x^66+1206x^68+888x^70+1177x^72+646x^74+686x^76+212x^78+257x^80+6x^82+86x^84+22x^88+11x^92+1x^96 The gray image is a linear code over GF(2) with n=138, k=13 and d=56. This code was found by Heurico 1.16 in 37.8 seconds.