The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 0 1 0 X 1 0 1 0 1 0 X X 1 1 1 1 X 1 1 0 X 0 X 1 1 0 1 0 1 X 0 0 X 0 1 X 1 1 X X 1 1 1 0 1 1 1 1 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 X X 0 1 1 X+1 0 X+1 1 X 1 0 1 0 X 0 X+1 0 X+1 0 X 0 1 X 1 X 1 X+1 X X+1 X 1 X X X 1 1 0 0 1 1 X+1 1 1 1 X 0 0 1 0 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X 0 1 1 X+1 X+1 0 1 1 X 0 X+1 X X+1 X 1 X+1 0 1 X 0 1 X 1 1 X+1 X+1 X+1 1 1 X X X+1 1 1 1 1 X 1 X+1 0 0 0 1 X X+1 X+1 1 1 1 X 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 X 0 X 0 X+1 X+1 X+1 1 X 0 0 1 X+1 X+1 X+1 X 0 X+1 0 X X 0 1 1 X X X 0 0 X 1 0 1 1 1 X X+1 1 1 0 1 X 1 1 1 X+1 X 1 1 0 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 X X 1 1 X+1 X+1 X X X+1 1 0 X+1 X+1 X X+1 X 1 1 0 X+1 1 1 X+1 0 X+1 1 X+1 X+1 X 0 X+1 0 X 1 X+1 0 X+1 X+1 X+1 X+1 X X 1 X+1 X 1 0 X+1 X+1 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 X X X 0 X 0 0 X 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X 0 X 0 X X X X X 0 X X X 0 0 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X X X 0 0 X X X X 0 0 0 0 X X 0 X X 0 X 0 X 0 X X 0 X X X 0 0 0 X X X X X X 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 0 0 0 X 0 X 0 X 0 0 0 0 0 X 0 X 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 0 0 X 0 X X X X X 0 0 X X 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X X X X X X 0 0 X X X X X X X X 0 0 X X X 0 0 X 0 0 X X 0 0 0 X generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+187x^58+564x^60+947x^62+1121x^64+1522x^66+1794x^68+2020x^70+2064x^72+1880x^74+1594x^76+1169x^78+779x^80+399x^82+239x^84+54x^86+34x^88+11x^90+2x^94+1x^96+1x^98+1x^100 The gray image is a linear code over GF(2) with n=142, k=14 and d=58. This code was found by Heurico 1.16 in 79.7 seconds.