The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 0 1 1 1 1 X 1 0 1 1 X 1 1 1 1 1 1 0 X 0 X 1 1 1 1 1 1 1 0 X 1 X 1 0 1 1 1 1 X 0 0 0 X X 1 1 1 1 0 0 0 X 1 1 0 0 X 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 1 X+1 0 0 X+1 1 0 1 X+1 1 1 X+1 X+1 1 0 X X 1 1 1 1 X X+1 1 0 1 X 0 1 1 1 1 X+1 1 X+1 1 1 1 0 0 1 1 1 1 0 X+1 X 0 X 1 X 1 X+1 0 X 1 1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 X X X X X X X X 0 0 X 0 0 X X X X X X 0 X 0 X 0 0 X X 0 0 X 0 0 X X 0 X X X X 0 X 0 X X X 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X X X X X 0 0 0 X 0 0 X 0 0 0 X 0 X X X X X X X 0 X 0 0 0 X 0 X 0 X 0 0 0 X X 0 X X X 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X 0 0 0 X X X 0 0 0 X 0 0 X 0 0 0 X X X X X 0 0 X 0 0 X X X X 0 0 0 X X X 0 X X 0 0 X 0 0 0 X 0 X X 0 0 0 X X X 0 0 X X 0 0 0 0 0 X 0 0 X 0 0 0 X 0 X X 0 X X X X 0 X X 0 X X 0 0 0 0 0 0 X X 0 0 X X X 0 X 0 X X X X 0 X 0 X X 0 0 X X X X 0 X 0 X X 0 0 X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 0 X X X 0 0 0 X X X X 0 0 X X X 0 X 0 0 X X 0 X X 0 0 0 0 X X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 0 X 0 X X 0 X 0 0 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 0 X 0 X X X X 0 X 0 0 0 0 0 X X X X X 0 X X X X 0 0 0 0 X 0 X X X 0 X 0 X 0 0 0 0 0 X 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X generates a code of length 75 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+220x^68+295x^72+200x^76+184x^80+83x^84+27x^88+6x^92+5x^96+3x^100 The gray image is a linear code over GF(2) with n=150, k=10 and d=68. This code was found by Heurico 1.16 in 18.5 seconds.