The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X X 1 1 X 1 X 1 1 1 X 0 1 1 X 1 0 0 1 1 0 1 1 X 1 X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X 0 X X X 0 X 0 X 0 0 X X 0 X X 0 X X X 0 0 0 X X X X X 0 X X X 0 0 0 X X X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 0 X X X X X X 0 0 0 0 0 X X X X X 0 X 0 X X 0 0 X 0 X X 0 0 X X X X 0 X 0 0 0 0 0 0 X X 0 X 0 X X 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X 0 0 X X X 0 0 X 0 0 X X 0 0 0 0 X 0 X X 0 0 X X 0 0 X 0 X 0 0 0 X X 0 0 X X 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X X 0 0 0 0 0 X 0 0 0 X X X 0 0 X 0 X X 0 X 0 X 0 X X X X 0 0 X 0 0 0 0 0 0 X X 0 X 0 0 X 0 0 0 0 0 X 0 0 0 0 0 X 0 0 X X X X X 0 0 X 0 0 X X 0 0 0 X X 0 0 X 0 0 X 0 X X 0 X X 0 0 0 X X 0 X X 0 0 X X X 0 0 X X X 0 X 0 X X 0 0 0 0 0 0 X 0 0 0 X 0 0 0 X X 0 0 X 0 0 X X 0 X 0 X 0 X 0 X 0 X 0 X X X 0 0 0 0 0 X 0 X X 0 0 X X X X X 0 X 0 0 X X X X 0 0 X X X 0 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X 0 0 X 0 X X 0 0 X X X 0 0 X X X 0 0 X X 0 0 X X X 0 0 X 0 0 X X 0 0 0 0 X X 0 X 0 X 0 0 X X X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 0 0 X 0 0 0 X X X X 0 0 0 X 0 X 0 0 0 X 0 X 0 X X 0 X 0 0 0 X X X 0 X 0 X 0 X 0 0 0 X X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X X X X 0 0 X X X X X 0 X 0 X 0 X 0 X X 0 0 X X X X 0 X 0 0 0 X X 0 0 0 0 0 X X 0 X 0 X X X X 0 X 0 X X X 0 0 X 0 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+44x^54+4x^55+94x^56+12x^57+96x^58+44x^59+101x^60+100x^61+90x^62+152x^63+75x^64+200x^65+82x^66+200x^67+66x^68+152x^69+77x^70+100x^71+83x^72+44x^73+60x^74+12x^75+57x^76+4x^77+42x^78+18x^80+18x^82+16x^84+2x^86+1x^88+1x^102 The gray image is a linear code over GF(2) with n=132, k=11 and d=54. This code was found by Heurico 1.16 in 1.06 seconds.