The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 X 1 1 0 1 0 1 X 1 1 1 X 1 X 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 X 1 X 1 1 0 1 1 1 1 1 0 1 1 1 X 1 X 1 1 1 0 1 1 0 0 1 1 X 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 1 X+1 0 X 0 X X+1 1 0 1 1 0 X+1 1 X 1 1 1 0 1 X+1 1 1 1 X 0 X X X+1 1 0 X 0 0 X X X X 0 1 1 X 0 0 X X X 0 X+1 1 X+1 1 X 0 X+1 X X+1 0 X+1 0 0 1 X+1 X+1 1 1 0 0 X 0 0 X 0 0 0 0 0 X X X 0 X 0 X 0 X X X 0 X 0 X 0 X 0 X 0 X X 0 0 0 X X X X X X 0 0 X 0 0 0 0 X X X 0 X X X X 0 0 X X X X 0 0 0 X 0 0 X 0 0 0 X X X 0 0 X 0 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 X X 0 X 0 X 0 0 X X 0 X X X X X X X X X X X X 0 X X X X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 0 X 0 0 X 0 0 X X 0 0 0 X X 0 0 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 0 X X X 0 X X 0 X X 0 X X 0 0 0 X 0 X 0 X X X X 0 X 0 0 X 0 X 0 0 0 X X X 0 X X X 0 0 X 0 0 X 0 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 0 X 0 0 X X X 0 0 X 0 0 0 0 X X X 0 X 0 0 X X 0 X 0 0 X X X X 0 0 X 0 X 0 0 X X X 0 X 0 0 X 0 X 0 X X 0 0 X 0 0 X X 0 X X 0 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X 0 X X X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 0 X X X 0 0 0 X 0 X 0 X X X X 0 0 0 0 X X 0 X X 0 X 0 X X 0 X 0 X X 0 X 0 X 0 0 0 0 X 0 X X generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 78. Homogenous weight enumerator: w(x)=1x^0+73x^78+99x^80+77x^82+84x^84+54x^86+36x^88+36x^90+26x^92+9x^94+5x^96+6x^98+1x^100+1x^104+1x^112+1x^114+1x^116+1x^120 The gray image is a linear code over GF(2) with n=168, k=9 and d=78. This code was found by Heurico 1.16 in 0.46 seconds.