The generator matrix 1 0 0 0 0 0 0 1 1 1 0 1 X 1 1 0 1 1 1 0 1 X 1 X 0 1 1 X 0 0 X 1 X 0 1 0 1 X X 1 X 1 X 1 0 1 1 X 1 X 1 1 1 X 1 1 1 1 0 1 0 1 1 X 0 1 1 1 X 1 0 1 1 1 1 1 X 1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 X X X 1 X+1 1 1 1 1 1 1 X+1 1 1 1 0 1 X 1 X 0 1 1 X 0 X X X 0 X+1 1 X+1 X 0 X 0 1 X X 0 0 X+1 X+1 1 1 1 0 X X+1 X 1 X X+1 X+1 1 X+1 1 X+1 1 0 X 0 1 0 0 0 1 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 0 0 X X X X X 0 X X 0 X X 1 1 1 1 1 1 X+1 1 1 1 1 X+1 1 1 1 X+1 1 1 X+1 X+1 1 X+1 X+1 X X+1 0 X 1 X+1 1 1 X X+1 X+1 X+1 0 1 0 0 1 X+1 0 X 1 0 0 0 0 1 0 0 0 0 0 X X 1 1 X+1 X+1 1 1 X+1 X+1 1 X X+1 1 X+1 0 X X 0 X+1 0 0 1 X X 1 X 1 X+1 1 1 1 X 0 X 1 X+1 X+1 1 X 1 X 0 1 X 0 1 X+1 X 1 0 X 0 1 0 0 0 X+1 X+1 X+1 X 1 1 1 0 X+1 1 1 0 0 0 0 0 1 0 0 X 1 X+1 1 0 1 1 1 X+1 X X+1 1 X 1 1 X 0 0 X 0 1 X+1 1 0 1 1 X 0 X+1 X X 0 X+1 1 X+1 1 1 X+1 X+1 X 1 1 X+1 X X X+1 X+1 X X+1 0 X 1 0 0 0 1 1 1 0 X 0 0 X+1 X X 1 X X 1 0 0 0 0 0 0 0 1 0 X+1 1 0 1 X X+1 X+1 0 X X+1 X+1 X 0 X X+1 1 1 1 X X+1 X+1 X X+1 1 0 0 X+1 0 0 X+1 0 1 X X+1 1 X 0 X 0 1 X+1 X+1 0 0 1 0 X 0 X X X+1 1 X 1 1 X 0 0 0 1 1 1 1 X 0 1 X X+1 1 0 0 0 0 0 0 0 0 1 1 X 1 1 X+1 X 1 X 1 X 0 1 1 0 1 1 0 X+1 1 X 0 X X+1 X+1 X 1 1 X 0 0 1 0 X+1 X+1 X+1 1 X+1 1 0 1 X+1 X+1 X X 1 1 1 X 1 X X X X X 0 0 0 0 X+1 1 X+1 1 1 0 1 X+1 1 1 1 X+1 0 generates a code of length 78 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+64x^64+108x^65+213x^66+326x^67+398x^68+452x^69+576x^70+610x^71+737x^72+812x^73+801x^74+876x^75+918x^76+888x^77+891x^78+970x^79+877x^80+910x^81+781x^82+782x^83+668x^84+612x^85+558x^86+406x^87+351x^88+264x^89+226x^90+112x^91+78x^92+48x^93+47x^94+14x^95+2x^96+2x^97+2x^98+2x^100+1x^122 The gray image is a linear code over GF(2) with n=156, k=14 and d=64. This code was found by Heurico 1.16 in 93.2 seconds.