The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 1 1 0 1 X 1 X 0 1 1 X 0 0 X 1 X 1 0 1 1 X 1 1 1 0 1 1 0 X 1 X X X X 1 X 1 0 X 1 1 0 1 1 1 0 0 1 X 0 0 0 1 X 1 1 0 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 X+1 1 1 1 1 1 1 X+1 1 1 1 0 1 X 1 X+1 1 1 X 1 0 X 0 1 X+1 X 0 1 1 0 1 0 1 X+1 1 X+1 X 0 X+1 X+1 1 0 X+1 0 X 0 X 1 X X 1 0 X 1 0 1 X 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X 0 X X 0 X X X+1 X+1 1 X+1 X+1 1 X+1 X+1 1 X+1 X+1 1 X+1 X+1 1 X+1 X X+1 X+1 1 1 1 1 0 1 1 0 1 0 X 1 1 X 0 1 1 X+1 1 X 0 X+1 1 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 X+1 X+1 1 X X+1 1 X+1 0 X X 0 X+1 0 0 1 X X 1 0 X 0 X 1 1 X+1 X+1 1 1 X+1 1 X+1 1 1 X+1 X+1 0 0 1 X 0 1 1 X+1 X 0 0 X 0 X+1 0 1 1 X X 1 X+1 X 0 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 1 X 1 1 X 0 0 X 0 1 X+1 1 0 1 1 0 X 1 X+1 1 X X+1 X+1 X+1 X+1 X X 0 0 1 X+1 0 X+1 0 1 X+1 X+1 1 X+1 X 0 X X X+1 1 1 X+1 1 1 1 0 X 1 X+1 0 0 X+1 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 X+1 X 0 X X+1 1 1 1 X X+1 X+1 X X+1 1 0 0 X X 0 1 0 X+1 0 1 1 X+1 X 1 1 X 1 X 1 X+1 X+1 1 X+1 0 0 X+1 0 0 0 1 X X+1 X+1 0 0 X 1 X X+1 1 X+1 0 X+1 X 0 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X 0 1 1 0 1 1 0 X+1 1 X 0 X X+1 X+1 X 1 X X X+1 1 0 X X+1 0 0 X+1 0 X 1 1 1 1 1 X+1 0 X+1 X+1 X+1 1 0 X+1 1 0 0 0 0 1 1 X+1 1 0 X+1 X+1 1 0 1 X+1 1 0 generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+48x^62+84x^63+243x^64+336x^65+413x^66+484x^67+545x^68+558x^69+727x^70+774x^71+736x^72+848x^73+879x^74+1040x^75+990x^76+970x^77+883x^78+872x^79+823x^80+798x^81+724x^82+616x^83+528x^84+404x^85+310x^86+246x^87+209x^88+98x^89+98x^90+44x^91+21x^92+20x^93+12x^94+1x^98+1x^114 The gray image is a linear code over GF(2) with n=152, k=14 and d=62. This code was found by Heurico 1.16 in 87.7 seconds.