The generator matrix 1 0 0 0 0 1 1 1 0 1 1 0 0 X 1 1 1 1 0 1 X 1 0 1 0 X 1 0 1 1 0 0 X 1 1 1 1 X 1 1 0 0 0 1 0 X X X X X 1 1 1 1 X 1 X 1 1 1 1 1 X 0 1 0 0 0 1 0 0 0 0 0 0 0 1 1 1 1 1 1 X X+1 1 X X 1 X X 0 1 1 X+1 0 X+1 X 1 1 0 0 1 X 1 X 0 X+1 1 1 1 1 1 X 1 1 1 1 X+1 0 1 1 1 0 1 1 X+1 1 X+1 X+1 1 X X+1 0 1 0 0 1 0 0 0 1 1 1 1 X 1 0 X+1 X+1 X+1 X X+1 0 0 X 0 1 1 X+1 X+1 0 1 1 0 X X+1 X X 1 X+1 0 X X+1 0 X X+1 X+1 1 1 1 0 0 X+1 0 0 1 X 0 X+1 1 X+1 1 1 X+1 X+1 0 1 1 0 0 0 0 0 0 1 0 1 1 0 1 0 X+1 X+1 1 X X+1 X+1 X 0 1 1 0 X 0 X 0 X+1 X+1 X+1 1 0 X 0 1 X+1 X X+1 X X X 1 0 X 0 1 0 X X+1 0 0 X+1 X+1 1 0 0 0 0 1 X X 0 X+1 0 X+1 X+1 0 0 0 0 0 0 0 1 1 0 1 1 X 0 X 1 X+1 X+1 0 X+1 X 0 X+1 0 X X 1 1 X+1 X+1 X X 1 X+1 0 X+1 X 1 1 X 1 X 0 1 1 1 X+1 0 1 1 0 X+1 0 1 X 1 0 0 X 0 0 0 X X+1 X 1 0 X+1 1 0 0 0 0 0 0 X 0 0 0 X 0 X X 0 X X 0 0 X 0 X 0 X 0 X 0 0 X X 0 X X 0 X X 0 X X X 0 0 0 X X X X X 0 0 X X 0 0 0 X 0 X X 0 0 X 0 X X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X X X 0 0 X X 0 X 0 X X 0 X X 0 X X 0 0 X X 0 0 0 0 X X X 0 X X X X 0 0 0 X 0 0 X X 0 X 0 0 0 0 0 0 0 0 X 0 0 X X X 0 X 0 X X X X 0 0 0 0 0 X 0 X 0 0 X 0 0 0 X X 0 X 0 0 X 0 0 X 0 0 X X X 0 0 X X X X X 0 X X 0 X 0 X X 0 0 X 0 0 0 0 0 0 0 0 X X X 0 X X X X 0 X 0 0 X 0 X X 0 0 X 0 X X X X X 0 0 X 0 0 0 X X 0 X 0 0 X 0 0 X 0 0 0 X X X 0 0 X 0 X X 0 X X X X X generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+70x^54+158x^55+268x^56+296x^57+450x^58+516x^59+628x^60+696x^61+763x^62+884x^63+874x^64+1002x^65+1050x^66+1070x^67+1039x^68+1026x^69+913x^70+862x^71+764x^72+772x^73+614x^74+488x^75+418x^76+260x^77+201x^78+112x^79+91x^80+42x^81+30x^82+6x^83+11x^84+2x^85+4x^86+2x^88+1x^118 The gray image is a linear code over GF(2) with n=134, k=14 and d=54. This code was found by Heurico 1.16 in 73.1 seconds.