The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 X 1 1 0 1 1 0 1 1 1 0 X 1 1 0 0 1 1 1 1 X 1 1 1 1 X 0 1 1 1 1 1 0 1 1 1 1 X 1 1 0 1 1 0 1 1 1 1 1 1 1 1 1 1 1 0 1 1 1 0 0 1 1 1 X 0 1 1 0 1 1 0 1 1 X X+1 1 0 X+1 1 X+1 1 0 X+1 1 0 X 1 X+1 X 1 X+1 X+1 0 1 1 1 X+1 1 1 0 X X+1 X+1 1 X+1 0 X X+1 1 1 0 1 X X 0 1 X 0 X 1 1 0 0 1 1 X 1 0 X+1 X X 1 X X+1 0 X 0 X+1 1 1 0 0 1 1 X 1 X+1 1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X 0 0 X 0 X X X X X 0 0 X X X X X X X X 0 X X X X 0 0 X X X 0 X X 0 X 0 X 0 0 X X 0 0 X 0 X 0 X 0 X 0 0 0 0 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 X 0 X 0 X X 0 X 0 X 0 X X 0 0 X 0 X 0 0 0 X X X 0 X X 0 0 X 0 X 0 X X 0 X 0 0 X X 0 X X X X X 0 X 0 X 0 0 0 0 X X X 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X X 0 X 0 X X X 0 0 0 0 0 X 0 0 X X 0 0 0 0 X 0 0 0 X X X X 0 X 0 X X X 0 0 X X 0 X 0 X X 0 0 X X X 0 0 0 0 X X 0 0 X 0 0 0 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 X X X 0 0 0 X X X X 0 X 0 X 0 X 0 X X X 0 X 0 0 X X 0 X X 0 0 X X 0 X 0 X X X 0 X 0 0 0 X X X X X X X X X 0 0 X 0 0 X 0 X X 0 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 0 X X X X 0 X 0 0 0 X 0 X 0 0 X X X 0 0 X X X X 0 X X 0 0 0 0 X X X 0 X 0 0 X X 0 X X 0 0 X 0 0 X X X 0 0 0 0 X X X X 0 0 X 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X 0 X X 0 X 0 X X 0 X 0 X X 0 X X X 0 X X 0 0 X 0 X 0 0 0 X X 0 X X X 0 0 X 0 X 0 X X 0 X 0 0 X 0 X 0 X 0 0 0 0 0 0 0 X 0 X 0 0 X 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X 0 0 0 X 0 X X X X 0 X 0 0 X X X X X 0 X X 0 0 0 0 0 X 0 X 0 X X 0 0 0 X 0 0 X X 0 0 X 0 0 0 0 X X X generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+88x^74+169x^76+231x^78+260x^80+219x^82+216x^84+206x^86+209x^88+187x^90+131x^92+62x^94+19x^96+13x^98+11x^100+10x^102+6x^104+5x^106+3x^110+1x^116+1x^120 The gray image is a linear code over GF(2) with n=168, k=11 and d=74. This code was found by Heurico 1.16 in 66.4 seconds.