The generator matrix 1 0 0 1 1 1 0 1 1 0 X 1 1 X 1 0 1 X 0 1 1 X 0 1 1 1 1 X 1 X X X 1 1 1 1 0 0 0 1 0 1 X 1 1 X 1 1 1 0 X 1 1 1 X 1 1 0 0 1 1 1 1 1 1 1 1 0 1 1 1 0 X X 1 0 0 1 1 0 X 1 1 1 0 1 0 0 1 1 1 0 X X 1 1 1 1 0 X 1 1 1 X+1 0 0 1 1 0 X X 1 1 1 X 1 X+1 0 X+1 X 1 1 X 1 X 0 1 1 1 X 0 1 0 0 1 0 0 0 1 0 0 1 1 X+1 X 1 X+1 X+1 0 X X+1 X X X+1 0 1 1 1 0 0 X 1 0 1 1 1 1 X+1 0 0 1 1 1 0 1 0 1 1 0 X+1 X X+1 0 1 1 0 X+1 0 1 1 1 X 1 X X 0 1 0 1 1 1 X 0 1 0 1 1 X 1 1 X+1 X+1 1 1 0 0 X+1 1 X X 1 1 X+1 X+1 X+1 X+1 X X 1 1 1 1 X+1 0 X 1 X+1 0 X+1 X X X+1 0 1 1 X+1 X+1 X+1 X+1 1 1 1 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 X X X 0 X 0 0 X 0 X X 0 X X X X 0 X 0 X 0 0 X X 0 0 X 0 X X 0 X 0 0 X X X 0 0 X X 0 X 0 0 X X 0 X 0 0 X 0 X X X 0 X X 0 0 0 0 X 0 0 0 0 X X 0 X X X X 0 X X 0 X 0 0 X X X 0 0 0 X X X 0 0 0 X X 0 X 0 0 0 X X X X X X X X 0 X X 0 X 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 X 0 X 0 0 0 X 0 X 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X 0 X X 0 0 X 0 0 X X X X X 0 X X X 0 X 0 0 X X 0 X X 0 0 0 0 0 0 0 0 0 X X 0 X 0 0 X 0 0 X 0 X X X 0 0 X 0 0 0 X 0 0 0 X X 0 X X 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 X 0 X 0 X X X X X X 0 0 0 0 0 X 0 X X 0 X X 0 0 0 X X 0 0 X 0 X 0 0 0 X 0 X X 0 0 X 0 0 0 X X X X 0 0 0 X X 0 0 0 0 X X X X 0 X X X 0 0 0 0 X X 0 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 X X 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 0 0 X X X 0 X 0 0 0 X X X 0 0 0 X 0 X X X X X X X X 0 0 0 0 0 generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+341x^76+560x^80+461x^84+316x^88+217x^92+117x^96+19x^100+12x^104+2x^108+2x^112 The gray image is a linear code over GF(2) with n=168, k=11 and d=76. This code was found by Heurico 1.16 in 98.7 seconds.