The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 1 1 0 X 0 X 1 X 1 1 1 1 0 1 0 1 1 0 X 1 X 1 0 0 1 X 0 0 0 1 1 1 0 X 1 X 1 X 0 1 1 X 0 1 X 0 1 1 0 1 1 0 0 1 1 1 X 0 X 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 1 1 X 1 X 1 X+1 1 0 1 1 0 X 1 0 1 1 1 1 X 1 1 1 0 X 1 1 X+1 X+1 X 0 X X+1 0 X 0 1 X 0 X 1 X X 1 X+1 X 0 0 0 X 1 X+1 X+1 X 0 1 0 X 0 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X X+1 X+1 0 1 1 1 X X+1 0 X 1 X X 0 X+1 X 0 X+1 0 X+1 1 1 0 0 0 1 1 0 X+1 1 X X X 1 1 X X 0 1 X+1 1 1 1 X+1 X+1 0 0 X X+1 1 1 X+1 1 X+1 X X+1 0 0 X+1 1 0 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 0 X 0 X+1 X+1 1 X X+1 0 X X+1 1 0 1 X X+1 X X 1 X+1 0 X+1 0 1 X X X X+1 X 0 0 0 X 0 X+1 X X X X+1 1 0 0 1 X 1 0 1 1 1 X+1 0 0 0 X X+1 1 X 1 1 1 X 1 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 X X+1 0 X 1 X 1 0 X+1 X+1 X+1 X 1 0 0 X+1 1 X X X+1 X+1 X+1 X 1 X 1 0 X 1 0 1 1 1 X+1 X+1 X+1 1 1 X+1 X X+1 X 1 0 X+1 1 1 X X+1 0 X+1 X X 1 X X+1 X+1 X 0 X 1 1 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X X+1 1 0 0 X+1 X 1 X+1 0 X+1 1 X+1 X+1 0 0 X+1 0 1 X X X 0 X+1 X X X+1 X X+1 0 0 1 X+1 1 0 X X+1 0 1 1 0 X X+1 1 1 0 0 X X 0 0 1 1 0 X X+1 X 1 1 1 X+1 X X+1 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X X X X 0 0 X 0 X 0 0 X X 0 X X 0 X 0 X X 0 0 0 X X 0 X 0 0 X X X 0 0 X X 0 X 0 X X 0 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 X X X 0 X X 0 0 X X X 0 X X X X 0 X 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 X X 0 X X X X 0 0 0 X 0 X X 0 0 X 0 X X X 0 X 0 X X X 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+77x^64+106x^65+244x^66+254x^67+416x^68+530x^69+571x^70+578x^71+680x^72+796x^73+764x^74+864x^75+889x^76+980x^77+922x^78+924x^79+899x^80+966x^81+797x^82+766x^83+688x^84+694x^85+549x^86+326x^87+327x^88+220x^89+200x^90+112x^91+109x^92+52x^93+44x^94+12x^95+7x^96+8x^97+2x^98+4x^99+2x^100+2x^102+1x^104+1x^114 The gray image is a linear code over GF(2) with n=156, k=14 and d=64. This code was found by Heurico 1.16 in 90.2 seconds.