The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X X 1 1 1 1 X 0 X 0 0 1 1 1 1 1 1 0 1 0 0 1 X 0 0 X 1 1 1 1 1 1 1 1 X 1 0 0 1 0 X 0 1 0 1 1 1 1 0 1 X 1 0 X 0 1 0 1 0 1 1 0 0 1 X+1 1 X 1 0 X 1 X+1 1 1 X 1 1 X X+1 0 1 0 0 1 X+1 0 0 0 0 X 1 X 1 X 0 1 X+1 0 1 1 1 X+1 1 1 0 1 X 1 X+1 1 1 X+1 X X 1 X+1 X X 0 0 0 0 1 1 1 0 1 0 1 1 0 X 1 X+1 X+1 X X+1 0 1 0 1 0 X+1 X+1 0 0 1 1 1 1 1 1 1 0 1 1 X 1 0 1 X X 0 X 1 1 X+1 X+1 1 X X 0 1 1 X+1 0 0 X+1 X+1 1 0 X+1 1 X+1 1 X 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 X X 0 X X 0 0 X X X X 0 X 0 0 0 0 0 X X 0 0 0 0 X 0 0 0 X X 0 X X X 0 X X X X X X X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X X X 0 X X 0 0 X 0 X X X X 0 X 0 0 X X X 0 X X 0 0 0 X 0 X X X X X 0 X 0 0 X 0 0 X X X 0 0 0 X X 0 0 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X X X 0 X 0 0 0 0 X 0 X X X X 0 X 0 0 X X 0 X X X X X X 0 0 0 X X 0 X X 0 X X X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 0 X 0 X 0 X X X X 0 0 X 0 X X 0 X X 0 X X 0 X 0 0 0 X 0 0 X 0 X X 0 0 X 0 0 X 0 X 0 X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X 0 X X 0 X X 0 X X X X 0 0 X X X 0 0 X 0 0 0 X 0 0 0 0 0 X X 0 0 0 0 X X X X X 0 0 0 0 0 0 0 0 X 0 X X X 0 0 X 0 0 X X X X 0 0 0 X 0 X 0 0 0 0 0 X X X X 0 0 X X X 0 0 0 0 X X 0 X 0 0 X X 0 0 X X 0 0 X X X X X X 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X 0 X 0 X X X X 0 0 X X X 0 X 0 X 0 0 0 X X 0 0 0 0 X 0 X X X 0 X X X X 0 X X 0 0 X 0 X X 0 X 0 X X 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 53. Homogenous weight enumerator: w(x)=1x^0+40x^53+89x^54+76x^55+159x^56+210x^57+276x^58+276x^59+412x^60+370x^61+407x^62+482x^63+477x^64+568x^65+511x^66+600x^67+487x^68+508x^69+429x^70+394x^71+325x^72+274x^73+247x^74+180x^75+130x^76+74x^77+61x^78+38x^79+44x^80+4x^81+21x^82+11x^84+6x^86+2x^87+2x^88+1x^90 The gray image is a linear code over GF(2) with n=132, k=13 and d=53. This code was found by Heurico 1.16 in 13.4 seconds.