The generator matrix 1 0 0 0 0 0 0 1 1 1 X 0 1 1 1 1 0 X 0 X 0 1 1 0 X 0 1 0 1 1 0 0 X 1 1 1 1 X 1 1 0 1 1 1 0 1 X 0 1 1 1 1 0 1 1 1 0 X X X 0 X 1 X X 1 0 1 1 1 1 1 0 1 1 0 X 1 0 1 0 0 0 0 0 0 0 0 0 1 1 X+1 1 1 1 1 0 1 X X X X 1 0 X+1 1 X+1 1 1 0 1 0 0 X 1 0 1 1 1 X X 0 X 1 0 X 1 X+1 X+1 0 1 X+1 X+1 0 X 1 X 0 1 X 0 1 0 0 0 1 X+1 X 1 X+1 0 X+1 0 1 X 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X 0 0 0 0 0 X 0 X X X X X X X 0 X 1 1 1 1 1 X+1 X+1 1 1 1 1 1 1 1 1 X+1 X+1 X+1 1 1 1 X 0 1 1 1 X 1 1 1 1 X 1 X+1 X+1 X 1 0 X 1 X 0 0 0 0 1 0 0 0 0 0 0 0 X 0 X 0 X 0 X 0 0 1 X+1 1 1 X+1 1 X+1 X+1 X+1 X+1 1 1 0 X X+1 1 X X X+1 0 X 1 X X+1 X 1 0 0 X+1 X+1 0 1 X+1 0 1 1 1 X+1 0 X+1 0 X+1 1 1 X 1 X 0 X X+1 0 X+1 1 X+1 0 0 1 0 0 0 0 0 1 0 0 0 1 1 1 1 0 1 X X+1 X 1 1 0 0 0 X X 0 X+1 X+1 X+1 1 0 X X+1 1 1 X+1 0 X 0 1 X 1 0 X 0 X+1 X X X+1 1 0 X+1 X+1 1 0 0 0 0 X+1 X X+1 X+1 0 0 X 1 X+1 0 1 1 X+1 X 0 0 X+1 X+1 1 X+1 1 0 0 0 0 0 1 0 1 0 X+1 1 1 1 0 0 X+1 X+1 X 1 X+1 X 0 1 X+1 X 1 1 1 X 1 1 X+1 1 1 X X+1 X+1 X+1 X+1 0 X+1 0 1 X X X 1 1 X+1 X X+1 X+1 X+1 0 1 X+1 0 X 1 1 X X 0 X 1 X+1 1 X 0 X X+1 0 0 X 0 1 X 0 0 0 0 0 0 0 1 1 X+1 X 1 0 X 0 1 1 1 1 0 X 1 0 X+1 0 0 1 X+1 0 0 X X 0 X+1 1 0 0 X+1 0 X+1 X 1 X X 1 X 0 X+1 0 0 X+1 1 1 1 X+1 X 1 X X+1 X+1 X+1 0 X 1 0 X+1 X 0 X+1 0 1 X 1 1 1 X 1 1 X+1 0 0 0 0 0 0 0 X X 0 0 0 0 0 X X 0 0 X X X X 0 X X X X X X X 0 0 X X 0 0 X X 0 0 0 0 0 X X X 0 X X X X 0 0 X X X 0 X X 0 0 X 0 0 X 0 X 0 X 0 0 X 0 0 0 0 X 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+72x^63+203x^64+284x^65+422x^66+528x^67+782x^68+850x^69+1002x^70+1182x^71+1325x^72+1402x^73+1607x^74+1768x^75+1867x^76+2006x^77+1864x^78+2020x^79+2023x^80+1960x^81+1623x^82+1570x^83+1429x^84+1210x^85+936x^86+762x^87+625x^88+374x^89+372x^90+240x^91+177x^92+94x^93+100x^94+44x^95+13x^96+12x^97+7x^98+6x^99+1x^100+2x^102+2x^104+1x^122 The gray image is a linear code over GF(2) with n=156, k=15 and d=63. This code was found by Heurico 1.11 in 70.1 seconds.