The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X X 1 0 X 0 1 0 1 1 1 X 0 0 1 1 1 1 1 1 1 1 X X 1 X 1 1 0 1 1 0 1 1 1 0 X X 1 X 0 1 X X 1 1 1 1 1 0 0 X 1 0 1 0 0 0 1 1 1 0 X X+1 X+1 1 1 X 0 0 0 1 X 1 X+1 1 1 0 0 1 0 X X+1 X X+1 X+1 0 X 1 X X+1 1 X+1 X+1 1 0 X 0 0 0 1 1 1 0 X X 1 1 X 0 1 0 X+1 1 X 1 1 1 X 0 0 1 0 1 1 0 1 0 1 1 X 0 1 1 X 1 X X 1 1 X+1 0 1 1 1 0 0 1 X 0 X+1 X 1 X X 0 0 X+1 X+1 X+1 0 X+1 1 0 X+1 X 0 X X+1 1 0 X 0 0 1 X X X X+1 1 0 X+1 1 1 0 0 0 0 1 1 0 1 1 1 0 X+1 X 1 X 1 X+1 0 1 0 X+1 0 0 1 X+1 0 X 1 X 0 X X+1 X 0 X X 1 1 X 1 X+1 1 0 X 0 1 X+1 1 0 X+1 0 1 X 1 1 1 1 1 1 X 1 0 X 1 0 1 1 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 X X X X X 0 X 0 0 X X 0 0 X 0 X 0 X X 0 X X 0 0 0 0 0 X 0 X X 0 X X 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X X X X X 0 0 0 X 0 0 X X 0 X X X 0 0 X X 0 X 0 X 0 0 X X X X 0 0 0 X X 0 X X X X 0 X 0 X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 X X X 0 X X 0 0 X 0 X X 0 0 0 X 0 X X X X 0 0 0 0 X X X X X 0 0 0 X 0 0 X X 0 0 0 0 X X X X 0 X 0 X 0 0 0 0 0 0 0 0 X 0 0 X 0 X X 0 X X 0 0 X X X X 0 0 X X 0 X X 0 0 0 0 X X X 0 X 0 0 0 0 0 0 X 0 X X 0 X 0 X X 0 0 0 X X X X X X X 0 X 0 0 0 0 0 0 0 0 X X X X X X X X 0 0 0 0 X 0 0 X 0 0 X 0 X X X 0 X X 0 X 0 X X 0 0 X 0 0 X 0 0 0 X 0 X 0 0 0 X 0 X 0 X 0 0 0 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+47x^54+88x^55+180x^56+222x^57+284x^58+336x^59+427x^60+444x^61+414x^62+486x^63+491x^64+472x^65+469x^66+518x^67+442x^68+476x^69+468x^70+416x^71+362x^72+322x^73+275x^74+184x^75+119x^76+104x^77+74x^78+18x^79+21x^80+8x^81+11x^82+2x^83+4x^84+5x^86+1x^90+1x^96 The gray image is a linear code over GF(2) with n=132, k=13 and d=54. This code was found by Heurico 1.16 in 10.1 seconds.