The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 1 1 0 X 1 1 1 1 1 X X 1 1 X 1 1 1 1 1 1 0 1 X 0 X 0 X 1 0 1 0 1 0 1 X 0 1 0 X 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 X+1 1 X 0 X+1 1 X+1 0 1 0 1 X+1 0 X+1 1 1 1 X X 0 X 0 1 1 0 X 1 0 0 X 0 1 1 X X+1 1 0 1 1 1 X+1 1 0 X X 1 1 1 1 X+1 1 1 X+1 0 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 0 0 X X X X 0 0 X X X 0 X X 0 X 0 0 X 0 0 0 0 0 0 0 X X 0 0 X X 0 0 X X 0 X X 0 X X 0 X 0 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X X X X X X X X X 0 X X 0 0 0 X X X 0 X X X 0 X X X 0 0 X 0 X X X 0 X 0 0 X 0 0 0 0 0 0 X X X 0 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X X X X X X 0 X X X 0 X X X 0 X 0 X X 0 X X X 0 0 0 X X X X 0 X 0 0 X 0 0 0 X 0 0 X X 0 X 0 0 X 0 X 0 0 X X X 0 X 0 X X 0 X 0 0 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X 0 0 0 X X X X 0 X 0 X X 0 0 0 X X X 0 0 X 0 0 X X 0 X 0 0 X X 0 0 X X X 0 0 X 0 0 X 0 X 0 0 X X X 0 0 0 X 0 0 0 0 0 0 0 X 0 X X 0 0 X X X 0 0 0 X 0 X X X X 0 0 0 0 X X X 0 X X 0 0 0 X 0 X 0 X X 0 X X X X 0 0 0 0 X X X 0 0 X X 0 X X X 0 X X X X 0 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 X X 0 0 X X 0 X X X 0 X X X 0 0 X X X X 0 X 0 0 X X 0 X 0 0 X X X 0 X X X X 0 X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X X X 0 generates a code of length 72 over Z2[X]/(X^2) who�s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+114x^64+76x^66+174x^68+106x^70+180x^72+80x^74+83x^76+84x^78+54x^80+36x^82+13x^84+2x^86+16x^88+1x^92+3x^96+1x^100 The gray image is a linear code over GF(2) with n=144, k=10 and d=64. This code was found by Heurico 1.16 in 0.26 seconds.