The generator matrix 1 0 0 0 0 0 0 1 1 1 0 X 0 1 1 0 0 X 1 1 1 1 1 0 1 1 0 1 0 0 1 1 X 1 X 0 1 0 1 1 1 1 X 1 X 0 X 0 0 1 0 1 0 X X 0 1 0 0 X 1 X X 1 1 1 0 0 1 1 X 1 X X 1 X 1 1 1 0 1 0 0 0 0 0 0 0 0 0 1 X 1 X+1 1 1 1 0 1 X 1 1 X 1 1 0 X 1 1 X+1 0 0 X 1 1 1 1 X+1 1 1 X 0 X+1 X 1 X 0 1 X X X+1 1 1 1 0 X 1 1 1 X+1 1 0 0 0 0 X 1 X X+1 X 1 1 0 X 0 X 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 X X X 1 X+1 1 1 X+1 X+1 X+1 1 1 1 1 X 1 1 X 0 1 X+1 X+1 1 0 X X+1 X 1 0 0 1 X+1 1 X 1 1 X+1 1 X+1 X 1 0 1 1 X X+1 X 1 X+1 0 X 0 X 1 0 1 0 0 0 0 0 0 1 0 0 0 0 0 0 X X 1 1 1 1 X+1 1 X+1 1 1 X X 0 0 0 X+1 X X+1 1 X+1 0 1 X+1 0 X 1 0 X X+1 0 X X X 1 X+1 X 1 X+1 1 X+1 1 0 1 0 X 0 1 X+1 X+1 X+1 X 0 1 X X+1 1 1 1 X 0 X X+1 0 0 X X 1 0 0 0 0 0 1 0 0 0 1 1 1 0 0 1 X X+1 0 X+1 X+1 X X+1 X+1 1 X 0 0 1 1 1 0 X+1 X 0 X+1 1 X 0 0 1 X 1 X 1 0 0 0 1 1 1 0 X+1 X+1 X X+1 X X 0 0 X+1 X 1 0 1 1 X X X X X+1 0 1 1 0 X 1 X 1 X 0 0 0 0 0 0 1 0 1 0 X+1 1 0 0 X X+1 1 1 X 1 X X+1 X+1 X+1 1 X X X+1 X+1 0 X X+1 1 1 X X X+1 0 1 0 1 1 0 X+1 X X X+1 X+1 X X+1 X 0 X 1 0 0 0 0 X X 1 1 X+1 X X+1 X+1 X X+1 0 X+1 0 X 0 X X X+1 0 X X 0 0 0 0 0 0 0 1 1 X+1 X X+1 1 1 0 0 0 X+1 1 X+1 X+1 X X+1 X 1 X+1 X X 1 0 1 0 X 1 X 0 0 X+1 1 X+1 X 1 0 1 X X X+1 0 1 1 0 X 1 1 X X+1 1 X+1 X+1 X+1 X+1 1 X 1 X 1 X X X+1 X+1 1 X X X+1 0 X X+1 X 0 0 0 0 0 0 0 0 0 X X 0 X X X 0 0 0 X X X X 0 X 0 X X 0 0 X 0 X 0 0 X 0 X X 0 0 0 X 0 X 0 X X 0 X 0 0 X X X 0 X 0 0 X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 0 X 0 0 X 0 0 generates a code of length 79 over Z2[X]/(X^2) who�s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+30x^63+76x^64+196x^65+346x^66+452x^67+604x^68+722x^69+859x^70+992x^71+1162x^72+1320x^73+1421x^74+1616x^75+1814x^76+1784x^77+1884x^78+1948x^79+1918x^80+1954x^81+1784x^82+1780x^83+1577x^84+1362x^85+1159x^86+964x^87+858x^88+632x^89+478x^90+348x^91+248x^92+176x^93+112x^94+50x^95+57x^96+42x^97+18x^98+12x^99+5x^100+4x^101+1x^102+1x^106+1x^118 The gray image is a linear code over GF(2) with n=158, k=15 and d=63. This code was found by Heurico 1.11 in 72.1 seconds.