The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 X 1 1 X 0 1 1 0 X 1 X 1 1 1 X 1 X 1 X 1 1 1 0 1 X 1 X 0 1 X 1 1 0 1 1 1 1 X 1 1 X X 1 0 1 0 X 1 X 1 1 X 1 1 0 0 1 0 1 0 1 1 0 0 1 1 1 1 X X+1 1 0 X 1 0 1 1 1 1 0 X X+1 X X+1 0 0 X X 1 0 X+1 1 1 0 1 X+1 X 1 1 X X 1 0 1 1 X 0 1 X X+1 1 X X 1 0 1 1 X 1 1 0 1 0 1 0 0 0 1 1 1 0 1 0 1 1 0 X X+1 1 0 X 0 1 X+1 1 1 X 0 1 X+1 1 X+1 0 1 1 1 1 X+1 1 0 0 1 X 0 X+1 0 1 0 X+1 1 X 1 1 1 0 0 1 1 X X+1 X 1 0 X 1 X+1 1 X+1 0 X+1 X+1 X+1 1 1 1 0 0 0 X 0 0 0 0 0 0 0 X X 0 X X X 0 X X 0 0 0 0 0 X X X X X 0 X 0 0 0 X X 0 0 X X X X 0 0 X 0 0 0 X 0 0 0 X 0 0 0 X X 0 X X 0 X X X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X 0 X 0 X X X X X 0 X 0 X 0 0 0 X 0 X X 0 0 X 0 0 0 0 0 X X 0 0 X X 0 X X X 0 X X X X X X X 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 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 X 0 X 0 0 X X 0 0 0 0 X X 0 X X X X X 0 0 0 X X 0 0 X 0 0 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X X 0 0 0 0 0 X X X 0 X X X 0 0 X X X X 0 0 X X 0 X 0 0 X X X 0 X X X X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X 0 0 X 0 X X X 0 X X X X 0 0 0 X X X X 0 0 0 X 0 X 0 0 X X 0 0 0 X X 0 X X 0 0 0 X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X X X 0 0 X 0 X 0 X 0 0 X 0 X X X X X X X 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 0 X X X 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 X X X X X X X 0 X X X X 0 0 X X 0 0 X 0 X X 0 0 0 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 X X X X X X X X X 0 X X X 0 X X X X 0 X X 0 X X X X X X 0 0 X X generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 56. Homogenous weight enumerator: w(x)=1x^0+183x^56+196x^58+782x^60+852x^62+1467x^64+1434x^66+2224x^68+1950x^70+2289x^72+1720x^74+1458x^76+800x^78+585x^80+202x^82+164x^84+14x^86+48x^88+12x^92+3x^96 The gray image is a linear code over GF(2) with n=140, k=14 and d=56. This code was found by Heurico 1.16 in 44.3 seconds.