The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X X X X 1 0 1 1 X X X 0 1 0 1 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X 0 X X X X 0 X 0 X 0 0 0 X X 0 X X 0 X X X X 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X X X X X 0 X 0 X 0 0 0 X X X 0 0 0 X 0 0 0 X 0 0 X X 0 0 X X 0 0 X X 0 0 X X X X 0 0 0 0 0 X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X 0 0 0 X X 0 X X 0 0 0 X 0 0 0 X 0 X X 0 0 X 0 0 X X 0 X 0 X X 0 0 0 X X X 0 X X 0 0 0 0 X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X 0 X X 0 0 0 0 X X X X 0 0 0 X X 0 0 0 0 0 0 X X X X 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X 0 X X 0 X 0 X 0 X X 0 X X 0 0 0 0 0 0 X X 0 0 0 0 X 0 X X X 0 X X X X 0 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 X X 0 X 0 X 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 X X X X X X 0 0 0 X 0 0 0 X X 0 0 0 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X 0 X 0 0 0 X X X X X X 0 X 0 X X X 0 0 X 0 X X 0 X 0 X X X 0 0 0 X 0 0 0 0 0 X X 0 0 X X X X X X X 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 X 0 0 X 0 X X X 0 X X X 0 X X X 0 X X 0 X 0 X 0 X X X X 0 0 X 0 X X 0 0 0 0 X 0 0 0 X X X 0 X 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 X X X X 0 0 X X X 0 X X 0 X X 0 X 0 X X X X 0 X 0 X X X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X X X X 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 X 0 X X 0 X X 0 X 0 X X X 0 X X X X 0 X X 0 0 X 0 X X X X 0 X 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+110x^56+315x^60+48x^62+436x^64+260x^66+695x^68+400x^70+695x^72+280x^74+425x^76+32x^78+230x^80+4x^82+125x^84+31x^88+8x^92+1x^112 The gray image is a linear code over GF(2) with n=140, k=12 and d=56. This code was found by Heurico 1.16 in 4.6 seconds.