The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 0 0 1 0 1 1 1 X 0 0 1 1 1 0 1 0 1 1 1 X 1 0 1 X 1 X 0 0 1 0 1 0 X X 1 X 1 1 1 0 1 1 1 1 X 1 1 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X+1 X 1 X+1 1 X X+1 0 X 1 0 0 X 1 1 X+1 1 X+1 X 0 1 0 1 0 1 X+1 1 0 X X 1 0 1 1 X X 1 X+1 X 0 X 1 X X+1 X+1 1 1 X+1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 1 1 X X X+1 X X X+1 1 X 0 X 1 X+1 X X X+1 1 1 X X 0 1 0 X 0 0 X 1 X+1 X 0 1 1 X 0 0 0 0 0 1 1 0 X+1 1 1 X+1 1 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X+1 X X 1 0 0 0 X+1 1 1 1 X+1 1 0 X X 1 X 0 1 X+1 0 0 0 0 1 X+1 1 X+1 0 X 0 X 1 1 X+1 X+1 1 0 X 1 X+1 1 X X+1 X 0 1 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 X X 0 X 0 0 X X X X 0 X 0 X X 0 X 0 0 0 0 X 0 X X 0 X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X 0 X X X X X 0 X 0 0 0 X 0 0 0 X X 0 0 X X X X X X 0 0 X 0 0 0 X 0 0 X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X 0 X X X X X X 0 X 0 X 0 0 X X 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 X 0 0 X X 0 0 0 0 X X X X 0 X 0 X 0 X X 0 X 0 0 0 X X 0 X X X 0 X 0 X X 0 X X X X X X 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 X 0 0 X X X 0 0 X X 0 0 0 X 0 X 0 X 0 X X 0 X 0 0 X X X 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 X X X 0 0 0 0 0 0 0 0 0 0 X 0 X X X X X 0 X 0 X X X 0 X X 0 X 0 0 X X X 0 X 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 X X X 0 0 0 0 0 0 X 0 X 0 generates a code of length 64 over Z2[X]/(X^2) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+44x^50+60x^51+164x^52+244x^53+311x^54+364x^55+521x^56+526x^57+718x^58+792x^59+829x^60+964x^61+972x^62+1114x^63+1056x^64+1140x^65+1033x^66+1036x^67+869x^68+812x^69+669x^70+528x^71+493x^72+326x^73+272x^74+176x^75+135x^76+76x^77+58x^78+26x^79+23x^80+8x^81+13x^82+3x^84+6x^86+2x^88 The gray image is a linear code over GF(2) with n=128, k=14 and d=50. This code was found by Heurico 1.16 in 68.6 seconds.