The generator matrix 1 0 0 0 0 0 1 1 1 X 0 0 0 0 1 1 1 0 X 1 1 X 1 X 1 1 1 1 0 X X 1 1 1 1 1 1 1 0 1 0 1 1 X 1 0 0 1 1 0 0 X 1 1 X 1 1 1 X X 1 1 X 1 0 0 0 1 X X 1 1 0 1 0 1 1 1 0 1 0 0 0 0 0 0 0 0 1 X 1 1 0 X 1 X 0 1 X 1 X 1 1 1 1 X 1 1 X X 0 X+1 0 X X+1 X+1 1 X+1 1 X+1 1 X X 1 1 0 X+1 0 X X X 1 X X+1 X+1 X+1 1 1 X 0 X 1 1 1 1 1 1 1 1 0 X X 1 X+1 X 0 0 0 1 0 0 0 0 0 0 0 X 1 1 X+1 X+1 X+1 X 1 1 X+1 0 0 X 1 0 X+1 1 X+1 1 0 0 X+1 X+1 1 X X+1 X 0 0 X+1 X X X X X X+1 1 1 X 1 0 0 X 0 1 1 X+1 X X+1 X+1 X X+1 0 X+1 X X+1 1 0 X 1 X+1 0 1 1 0 X 0 0 0 0 0 1 0 0 0 1 1 1 X+1 X+1 1 X 0 X+1 0 1 X X+1 X X+1 X+1 1 1 0 X 1 0 0 1 X X X+1 X X 1 X 0 X+1 0 X+1 X+1 X 0 0 1 1 0 X 1 1 X X 1 X 0 X+1 1 X+1 1 X 0 X X 0 X+1 0 X+1 X+1 X+1 0 X+1 X+1 0 X+1 0 X 0 0 0 0 1 0 1 1 X X+1 1 1 1 0 X+1 0 1 0 1 0 X X X+1 0 X+1 X+1 X 1 X+1 1 0 X+1 0 X+1 X+1 X X 1 1 0 0 1 X 1 X+1 1 1 1 X X+1 X X 1 0 1 X+1 1 1 X X 1 X+1 1 1 X X+1 X+1 X X+1 1 X+1 X X X+1 1 1 0 0 0 0 0 0 0 1 1 X X+1 1 0 X 1 X+1 0 X X X+1 1 X+1 0 X+1 0 0 1 1 0 1 X X+1 0 0 X+1 X 1 1 X 0 X+1 1 1 X 1 X+1 0 X+1 0 0 1 X X+1 1 0 X 1 X 0 1 1 1 1 1 0 1 X+1 X 0 X+1 X X+1 X 0 X 1 1 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X 0 0 0 X X X 0 0 0 0 X X 0 0 0 X X 0 X 0 X X 0 X 0 0 X X 0 0 X 0 0 0 X X X X 0 X 0 0 X 0 X 0 X X 0 0 0 X X generates a code of length 78 over Z2[X]/(X^2) who�s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+84x^66+138x^67+231x^68+286x^69+333x^70+310x^71+354x^72+408x^73+430x^74+496x^75+417x^76+446x^77+468x^78+450x^79+419x^80+470x^81+425x^82+392x^83+315x^84+284x^85+251x^86+200x^87+188x^88+134x^89+98x^90+54x^91+52x^92+16x^93+20x^94+8x^95+6x^96+4x^97+3x^98+1x^108 The gray image is a linear code over GF(2) with n=156, k=13 and d=66. This code was found by Heurico 1.16 in 12.3 seconds.