The generator matrix 1 0 0 0 0 0 1 1 1 0 1 1 X 1 0 1 1 X 1 1 X 0 0 1 X 1 1 1 1 0 1 X X X 0 1 0 1 0 X 1 1 1 X 1 1 X 1 X 1 1 X X 0 1 1 X 1 1 1 0 0 1 1 1 0 0 0 X 1 X 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X 1 1 1 1 X+1 1 1 1 1 X 0 X X+1 X+1 X 0 X 1 X 1 0 1 1 1 1 0 1 X 1 X 1 1 0 0 1 X+1 1 X X X X+1 0 X+1 X 0 1 X X 1 X X 1 0 1 X X 1 X+1 1 1 X X+1 0 0 1 0 0 0 0 0 0 0 1 1 1 X+1 1 X 1 X+1 0 0 X+1 X+1 X X+1 1 X 1 1 X X 1 1 1 1 X+1 X+1 1 1 X 0 X X 1 X+1 0 1 0 X 0 0 1 X 1 X X X X X 0 1 X 0 0 1 X 1 0 1 X X 1 X 1 X X 1 0 0 0 0 1 0 0 0 1 1 1 X 1 X+1 X+1 X+1 X 0 0 X X+1 X+1 0 1 X+1 X X 0 0 X+1 X 0 X+1 0 0 1 X+1 X+1 X+1 0 X+1 1 X+1 1 1 X+1 X X 1 1 X 0 X 1 0 X+1 1 0 X X+1 0 X+1 1 1 1 X+1 1 1 0 X+1 X+1 0 1 1 X+1 X X 0 0 0 0 0 1 0 1 1 0 X+1 X 0 X X+1 1 0 X+1 X+1 X+1 1 X X X 1 X+1 0 X+1 0 X 1 0 X 1 X 0 X+1 1 0 1 X+1 0 0 0 X+1 X+1 1 X+1 1 X+1 X 0 1 1 0 0 X+1 1 0 X+1 1 X+1 X+1 X+1 0 1 0 X X 1 X+1 1 X+1 1 X+1 0 X+1 0 0 0 0 0 0 1 1 0 X+1 X+1 1 X X+1 X+1 X 1 X+1 0 0 X+1 X 1 X+1 0 1 X X X X 0 1 X+1 X 0 0 X+1 1 1 X+1 0 X+1 0 X X+1 X X+1 X+1 0 1 1 X 1 1 1 1 0 1 X+1 X+1 X X 0 1 0 X+1 0 X X X+1 1 1 X+1 X X+1 0 1 0 0 0 0 0 0 0 X 0 X X X 0 X X 0 X X 0 0 X 0 X X 0 X 0 0 X X X 0 0 X X X 0 0 X X X 0 0 0 0 X 0 X 0 0 0 0 0 X 0 X X 0 X 0 X 0 X X X 0 X X X X X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 X X 0 0 0 0 0 X 0 0 X X X X X X 0 0 X X 0 X X X X 0 X 0 0 0 0 0 X X 0 0 0 X 0 0 X X X X X X X 0 0 X 0 X 0 0 X X 0 0 X 0 X 0 0 X 0 0 generates a code of length 77 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+231x^64+597x^66+977x^68+1226x^70+1497x^72+1811x^74+1905x^76+1787x^78+1829x^80+1654x^82+1180x^84+844x^86+471x^88+239x^90+97x^92+31x^94+1x^96+3x^98+1x^100+1x^104+1x^120 The gray image is a linear code over GF(2) with n=154, k=14 and d=64. This code was found by Heurico 1.16 in 90.5 seconds.