The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 1 0 X 1 X 1 0 1 0 1 1 1 X 1 1 X 0 0 X 1 1 1 1 1 1 1 X 0 0 1 0 1 1 1 1 1 1 0 1 X 1 1 1 1 1 0 1 1 X 1 0 0 X 0 1 0 1 0 1 0 0 1 1 1 0 0 1 X+1 1 1 X 0 1 X 1 1 0 X+1 0 X+1 1 X 1 X X+1 1 1 1 1 X+1 X+1 0 0 1 X 0 1 1 1 1 0 0 X X X X X 1 0 X 1 X+1 1 1 X 1 1 X 1 X X 0 1 0 X+1 1 0 0 0 1 1 1 0 1 0 1 X+1 0 X X+1 X 1 X X+1 1 1 1 X 1 X+1 X 0 X X+1 1 X+1 X+1 0 X X+1 1 X+1 0 X X 1 X+1 X 1 0 1 X 0 0 X+1 0 0 X+1 0 1 X+1 0 0 X+1 X 0 X+1 1 X+1 X+1 1 1 X+1 1 1 0 1 0 0 0 X 0 0 0 0 0 X X 0 0 X X X X X X 0 X X X 0 0 0 0 X 0 X 0 0 0 X 0 X 0 X 0 X X 0 0 0 0 X X X 0 0 X 0 0 X X X 0 0 X X X 0 0 0 X X X 0 X X 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 0 0 X X X 0 X X 0 X X X X X X X X 0 X 0 X X X 0 X 0 0 X X X 0 X X 0 X X X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 X X X X X X X X X 0 X X 0 0 X 0 0 X X X 0 X X X X 0 X X 0 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 X X X X 0 X X 0 X 0 X 0 0 X 0 0 X X 0 0 X 0 0 X 0 0 X X 0 X 0 0 X X X 0 0 X 0 0 X X X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 0 0 0 X 0 X X X X X 0 0 X 0 X X X 0 X 0 X X X 0 0 0 X 0 0 X 0 0 0 0 0 0 X X 0 X X X X 0 0 X 0 0 X 0 X 0 0 X 0 0 0 0 0 0 0 0 0 X X X 0 0 X X X 0 X X X X 0 0 X X X X X 0 0 X 0 0 0 X X 0 0 X X X 0 0 X X X X X X X X X 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 generates a code of length 70 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+183x^60+272x^62+481x^64+442x^66+532x^68+426x^70+513x^72+388x^74+369x^76+196x^78+158x^80+66x^82+50x^84+2x^86+13x^88+2x^92+2x^96 The gray image is a linear code over GF(2) with n=140, k=12 and d=60. This code was found by Heurico 1.16 in 3.45 seconds.