The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 0 0 1 X 1 1 1 0 1 1 1 0 1 1 0 1 0 1 1 1 1 0 1 1 X 1 X 1 X 1 0 X 1 1 1 1 1 1 X X 1 1 X 0 1 1 X 1 X 0 X 1 1 1 0 1 0 1 1 0 1 1 0 1 1 0 1 1 0 X+1 1 0 X+1 1 0 X+1 1 0 X+1 1 1 0 1 X+1 1 0 1 0 X+1 X 1 1 0 1 X+1 1 X X+1 X+1 0 1 0 X+1 1 X+1 1 X 0 0 X 1 0 X+1 X+1 X+1 1 X+1 1 1 X 1 1 1 X 0 1 0 1 1 1 0 X 0 1 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X X 0 X X 0 0 0 X X X X 0 0 X 0 0 X 0 0 0 0 X X 0 X X X 0 0 X X 0 X 0 X 0 0 X X 0 X X 0 0 0 0 0 X X 0 X 0 0 0 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 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X 0 X X 0 X X 0 X X X 0 X 0 X X X X 0 0 X X X X X X 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X 0 0 X X 0 0 0 0 X X X X X 0 0 X 0 0 X 0 X 0 0 0 X X 0 0 0 X X X X X 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 X 0 X X X X 0 0 X X X X 0 0 0 X X X 0 0 X X X X 0 X X X 0 X X 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 X 0 0 X X X 0 0 X 0 0 X X X 0 X 0 X 0 0 0 0 X 0 0 X X 0 0 0 X 0 0 X 0 0 X 0 X 0 X 0 X X X X 0 0 0 0 X X 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 0 0 X X X 0 X X 0 0 0 X 0 X 0 X X 0 0 0 0 X 0 0 X X X 0 X 0 X 0 0 0 X 0 X 0 X X X 0 X 0 0 X 0 X X X X 0 0 X X 0 0 X X X 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X 0 X X X X 0 X 0 X X X X 0 X 0 0 X X 0 0 0 0 X X 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 0 0 0 0 0 0 X X 0 X 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 X 0 X X 0 X X X X 0 0 X 0 X 0 0 0 0 0 0 X X X X X 0 X X 0 0 0 X X X 0 0 X 0 0 0 X X 0 X X X X 0 0 X 0 0 X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 X 0 X 0 X X 0 0 0 0 X 0 0 0 X X X 0 0 0 X 0 0 X 0 0 0 X 0 0 X X X X X 0 0 X X X 0 0 X 0 0 0 X X X 0 X X 0 X 0 X X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X 0 X X 0 0 0 X X 0 0 X 0 X 0 X X X 0 0 X X X X X 0 X X 0 X X X X 0 X X X 0 X X X 0 0 X X X X X 0 X 0 0 0 0 0 X 0 X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+51x^62+158x^64+285x^66+465x^68+763x^70+1064x^72+1415x^74+1832x^76+2129x^78+2152x^80+1890x^82+1503x^84+1073x^86+718x^88+398x^90+210x^92+136x^94+65x^96+41x^98+20x^100+8x^102+2x^104+3x^106+1x^108+1x^124 The gray image is a linear code over GF(2) with n=158, k=14 and d=62. This code was found by Heurico 1.16 in 57.5 seconds.