The generator matrix 1 0 1 1 1 0 1 1 0 1 1 X 1 1 0 1 0 1 1 0 1 1 1 0 0 1 1 1 1 X 0 1 1 1 X 1 1 1 1 1 X 1 1 1 1 1 1 1 1 0 1 1 0 1 0 1 1 0 1 X 1 0 1 X X 1 0 1 1 0 1 1 0 1 1 0 X+1 1 X X+1 1 0 1 X+1 X 1 X+1 1 0 1 1 0 0 X+1 X+1 1 1 0 X+1 X 1 X+1 1 0 1 1 1 X 1 1 1 X 0 0 1 1 0 0 1 X+1 1 X 0 1 X 1 1 X 0 X 1 X+1 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X 0 X X 0 0 X 0 0 0 0 X X X 0 0 0 0 X 0 X X X 0 X X 0 X 0 X 0 X X 0 X X 0 0 X X 0 X 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X X 0 X X X 0 X 0 0 0 0 X X X 0 0 X X 0 X 0 0 0 X X X X 0 0 0 0 X X X 0 0 X 0 X X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X 0 X X 0 0 0 X X X X X 0 X X 0 0 0 X X 0 X 0 X 0 0 X X 0 X X X 0 X 0 X 0 0 X 0 0 0 0 0 0 X X 0 X X 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X 0 X X X X X X X 0 0 X 0 0 X X 0 X 0 0 0 X 0 0 X 0 X 0 X X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 X 0 X 0 0 X 0 X X X 0 0 0 X 0 X 0 X X 0 X 0 0 X X X X X 0 X X 0 0 X 0 0 0 0 0 0 0 X X X X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 X 0 0 0 X X X 0 X 0 X X 0 0 X 0 X X X X X X X X 0 0 X X 0 0 0 0 0 X 0 0 X 0 X 0 0 X X X X 0 X 0 X 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 X X X 0 0 X 0 0 X 0 X 0 X 0 X X X 0 X 0 X 0 X 0 0 0 0 X X 0 X X 0 X 0 X X X X 0 0 X 0 0 0 X X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X 0 0 X X X 0 X 0 X X X X X X X 0 0 X 0 X X X 0 X X 0 X X X X X 0 0 X 0 0 X 0 X X 0 0 0 0 X X X X X X generates a code of length 66 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+45x^54+28x^55+112x^56+58x^57+148x^58+140x^59+182x^60+230x^61+238x^62+268x^63+233x^64+308x^65+224x^66+280x^67+235x^68+284x^69+183x^70+244x^71+145x^72+114x^73+105x^74+60x^75+68x^76+30x^77+56x^78+4x^79+36x^80+18x^82+11x^84+6x^86+1x^88+1x^90 The gray image is a linear code over GF(2) with n=132, k=12 and d=54. This code was found by Heurico 1.16 in 3.27 seconds.