The generator matrix 1 0 0 0 0 1 1 1 1 0 1 1 X 1 0 X X 1 X 1 1 0 1 0 X 1 1 X 1 0 0 1 1 0 0 1 1 1 1 1 X 1 X 1 0 0 X 1 1 1 1 X 0 1 X 0 X X 0 1 X 0 1 X 1 1 1 0 X 0 1 0 1 1 X X X 1 1 1 1 1 1 1 0 0 1 1 0 1 0 0 0 0 0 0 0 X 0 0 X X X X 1 1 1 1 1 1 X+1 1 1 X+1 1 1 0 1 1 X 1 1 0 X+1 1 X 1 X+1 1 X 1 X 0 X 1 0 1 0 0 1 1 X 1 0 0 1 X 1 X 1 X 1 X+1 1 0 X 0 1 X 1 X+1 X 1 0 0 1 0 0 0 X+1 X X 1 1 0 X 0 0 1 0 0 0 1 0 X 0 1 X+1 1 X+1 1 1 X 1 X+1 X+1 X X+1 0 X+1 0 X+1 X+1 X X X X+1 1 0 X+1 1 X 0 X+1 X+1 X 1 0 X X 1 1 0 X X X X+1 0 X X+1 0 1 0 1 X X 1 0 X+1 X+1 X 1 X+1 X X 1 X X+1 0 X+1 X+1 1 1 X X 0 0 X 1 X+1 0 X+1 X+1 X+1 0 0 0 1 0 1 1 X 1 1 X X X X+1 X+1 1 1 0 X 1 X+1 X+1 X+1 X 1 X+1 0 0 X+1 X+1 X+1 X X 1 X+1 X 1 X X 0 0 X X+1 X X X X+1 1 X+1 X+1 X+1 0 0 1 X X+1 X 0 X 0 1 X X+1 X X 1 0 1 1 X 1 X 0 X+1 X+1 0 0 X 1 1 0 0 0 X 0 1 1 X+1 0 0 0 0 1 1 0 1 0 1 X X+1 1 1 X 1 X+1 X+1 1 X+1 X+1 1 X 0 0 X X 1 1 X+1 0 1 1 1 X X X X 1 X X+1 X 0 X X X+1 X 1 X+1 0 1 X 0 X+1 X+1 X+1 1 0 1 1 1 X+1 1 1 X+1 0 0 0 X 1 X+1 X 1 X 1 X+1 1 X+1 X X X+1 X 1 1 X+1 X+1 X+1 0 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 0 0 0 X X X X X X X X X X X X X X X X X X X X X 0 X X X X X X X 0 0 X X X X 0 X X 0 X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X 0 0 X X X 0 X 0 X 0 X 0 X X X 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X X X 0 0 0 0 0 0 0 0 X X 0 X X 0 X 0 0 X X X 0 X 0 X X 0 X 0 X X 0 0 X generates a code of length 88 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+214x^78+409x^80+449x^82+508x^84+442x^86+354x^88+386x^90+387x^92+277x^94+237x^96+192x^98+111x^100+71x^102+35x^104+17x^106+6x^108 The gray image is a linear code over GF(2) with n=176, k=12 and d=78. This code was found by Heurico 1.16 in 23.1 seconds.