The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 0 1 1 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 X 1 1 1 1 1 1 0 0 1 1 0 1 1 X 1 X 1 1 1 X 1 X X 1 1 0 0 1 0 1 0 1 X 0 1 0 1 1 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 0 X+1 1 1 0 X+1 X X+1 1 0 1 X+1 0 X+1 1 0 1 X+1 X+1 1 1 X 1 1 1 X+1 0 1 X 1 1 X+1 1 X X 1 1 0 1 1 0 X+1 1 0 X 1 X+1 X X+1 0 0 X+1 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 X 0 X X 0 X 0 0 X X 0 X 0 X 0 X X X X X X 0 X 0 X X X 0 0 0 0 X 0 0 X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X X X X X X 0 X X X X 0 X 0 0 X 0 X X X X 0 X X 0 X X 0 0 X X X X X 0 X 0 0 X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X X 0 X X X 0 0 X 0 X 0 0 X 0 0 X X 0 X 0 0 X X 0 X X 0 X X X X 0 0 0 0 X 0 X X X X 0 0 X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X 0 X X 0 X X 0 0 0 X 0 0 X X X 0 0 X X 0 0 0 X 0 0 X X X 0 0 0 X X 0 0 X X 0 X X 0 0 0 X 0 X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X 0 X 0 X X X X 0 X X 0 0 0 X 0 0 X X X 0 0 0 0 X X X X 0 0 X X X 0 0 X 0 X X X 0 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X X 0 X 0 X 0 X X X X X 0 0 0 X 0 X X X 0 0 X 0 0 0 0 X 0 0 0 0 X 0 X 0 X X X X X 0 X 0 X X 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X X 0 X X 0 X 0 0 X 0 X X 0 X X X X 0 0 0 X 0 X X X 0 0 X 0 0 X X X X X 0 X X X X X X 0 0 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X X X 0 0 X X X 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X 0 X X 0 X 0 0 0 0 X X X 0 0 0 0 0 X 0 0 0 0 X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X 0 X 0 0 X 0 0 X X 0 0 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 X X 0 X X 0 X 0 X 0 0 0 0 X 0 0 0 X 0 X 0 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+119x^56+70x^58+459x^60+300x^62+820x^64+698x^66+1189x^68+920x^70+1189x^72+714x^74+800x^76+316x^78+355x^80+54x^82+134x^84+44x^88+9x^92+1x^100 The gray image is a linear code over GF(2) with n=140, k=13 and d=56. This code was found by Heurico 1.16 in 13.3 seconds.