The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 X 0 1 X X 1 1 1 1 0 1 0 1 1 1 1 1 0 X X 1 1 1 1 1 1 0 1 0 1 X 1 1 1 1 0 0 X X 1 0 1 X 1 X 0 1 X X 1 1 X 1 0 0 1 1 0 1 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X X+1 1 1 1 0 1 1 X+1 X 1 X 0 0 0 X 1 0 X 1 1 1 X+1 1 0 X 1 X 1 X 1 X+1 0 X 1 1 0 X X 1 1 1 1 1 X X 1 1 X 1 X 0 X 1 X 1 1 X X X 1 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X 0 1 0 X+1 1 1 X+1 X+1 X+1 X 1 0 1 0 1 X+1 X 1 0 1 1 X 0 X 0 X+1 0 0 X X X 1 1 1 X+1 1 1 1 X+1 0 0 X 1 1 1 X X+1 0 X 1 1 1 0 X X+1 0 X 0 1 X+1 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 X 0 X X X 0 0 X X X X X 0 0 X X X X 0 X X 0 X X 0 X X X X 0 X X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 X X X X X 0 X X 0 X 0 X 0 0 0 X 0 X 0 0 0 X X X 0 X 0 0 X 0 0 X X X X X X X X X X X 0 X X 0 0 0 X X 0 X X X 0 X X X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X 0 X X X X X X X 0 X X X X X X 0 X X X 0 0 0 X X 0 X X 0 X X X X X X 0 0 0 0 X 0 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X X X X X X X X X 0 0 0 0 X X X 0 X 0 X X X X X 0 X X X 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 0 X 0 X 0 X 0 X 0 0 X X X X 0 X 0 0 0 0 X 0 X X X 0 0 0 0 X X X 0 X 0 0 0 0 X 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 X X X X X 0 X 0 0 X 0 X 0 X 0 X X X X X X 0 0 0 X 0 X X 0 X X 0 X X 0 0 X 0 0 0 X 0 X X X 0 X 0 0 X X X 0 X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X 0 0 X X X 0 0 X X X 0 X X 0 X 0 0 0 X X X X 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 X X 0 0 X X 0 X X X X 0 0 X 0 generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+208x^64+300x^66+666x^68+652x^70+940x^72+862x^74+1048x^76+834x^78+949x^80+664x^82+524x^84+208x^86+191x^88+62x^90+64x^92+2x^94+14x^96+2x^100+1x^104 The gray image is a linear code over GF(2) with n=152, k=13 and d=64. This code was found by Heurico 1.16 in 14.2 seconds.