The generator matrix 1 0 0 1 1 1 0 1 1 1 1 0 X 0 1 1 X 1 1 1 1 X 0 0 X 0 1 1 1 0 X 1 1 1 0 X 0 1 0 1 1 0 0 1 X X 1 1 1 X X X X 0 1 1 1 X 1 1 0 1 0 0 1 1 0 1 0 0 1 1 1 0 X 1 X+1 1 1 0 X X+1 1 0 X 1 X+1 1 1 1 1 0 0 1 X 1 0 X+1 X 1 0 X 1 X 1 X X+1 1 1 X+1 1 1 1 X+1 0 0 X 1 1 0 X+1 1 X+1 1 0 X 1 0 X 1 X+1 0 0 0 1 1 1 0 1 0 1 X+1 X 0 1 1 X+1 X 1 X 0 1 1 1 1 0 X 1 X+1 0 X 0 1 1 X+1 X+1 1 1 1 X+1 X+1 1 1 X X X+1 1 X+1 0 1 1 1 1 1 0 1 X X X X+1 1 1 X X 1 1 X+1 X 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 X X X X X 0 X 0 X 0 X 0 0 X X 0 X X 0 X 0 0 X 0 0 X 0 X X 0 X X 0 X 0 X 0 0 X X 0 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X X X X X X 0 0 X X X X 0 0 X 0 X 0 X X 0 0 X 0 X X 0 0 0 0 0 0 0 X X 0 X X 0 X 0 X X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 X X X X X X 0 X 0 X X 0 X X X 0 X X 0 0 X X 0 0 0 0 0 X X 0 X 0 0 X X X 0 X 0 X X X 0 X X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X X 0 X 0 X 0 X X X 0 0 X X X 0 0 X X 0 0 0 0 X 0 X 0 0 X X X 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 X X 0 0 0 0 0 0 0 X X X X X X X X X X 0 0 X X 0 0 X X 0 X X X 0 X X X X X X 0 0 0 0 0 0 X X 0 0 0 X 0 0 0 X X X X 0 X 0 0 X 0 0 0 X X 0 generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 57. Homogenous weight enumerator: w(x)=1x^0+44x^57+96x^58+90x^59+118x^60+132x^61+171x^62+152x^63+87x^64+146x^65+153x^66+116x^67+85x^68+96x^69+119x^70+88x^71+52x^72+64x^73+67x^74+50x^75+33x^76+28x^77+29x^78+16x^79+4x^80+2x^81+3x^82+3x^84+1x^86+1x^90+1x^92 The gray image is a linear code over GF(2) with n=132, k=11 and d=57. This code was found by Heurico 1.16 in 9.72 seconds.