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 X 1 1 0 1 1 1 0 0 1 1 X X 0 1 1 1 X 1 X 1 1 0 0 0 1 1 1 0 1 0 X 1 1 0 1 1 0 1 1 X X 0 1 0 1 1 0 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 0 1 X 0 X+1 0 1 X 0 1 1 1 0 1 X 1 1 0 X+1 X+1 1 1 0 1 0 0 X X 1 1 X+1 X X 1 X 1 1 X 1 0 0 0 0 0 0 1 0 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 1 0 1 X 0 1 X+1 1 X+1 1 1 X+1 X+1 X X+1 0 0 X 1 1 X X+1 X 0 1 X+1 X+1 1 1 0 0 X+1 X+1 0 1 1 0 0 X+1 0 1 1 0 0 X X+1 X+1 X+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 1 1 0 1 0 X 0 1 1 X+1 1 X X+1 1 0 X 1 X 1 0 X+1 0 X X 0 X+1 X 0 0 0 0 1 X X X+1 X+1 X+1 0 X 0 X X 1 X 1 X+1 0 X+1 0 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 0 X 0 0 X 0 0 X X 0 0 0 0 X 0 0 X X X X 0 X X X 0 0 0 0 0 X X X 0 0 0 X 0 0 X X 0 X X X 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 0 X 0 0 X 0 X 0 X 0 0 X X 0 0 X X X X 0 0 X 0 0 X X X X X X 0 X X 0 X 0 0 0 X X X X 0 X X 0 0 X 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 0 0 0 X 0 0 X X X X 0 X X 0 X 0 X X 0 X X 0 0 X X X X X 0 X X X X X 0 X X X 0 0 X X X 0 0 0 0 X X 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 X X 0 X 0 X 0 X X X 0 X X 0 0 X 0 0 0 X 0 0 0 0 X X X X 0 X X X X X 0 0 0 X X 0 X X X 0 0 0 X 0 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 X X X 0 X 0 X 0 X X 0 X 0 0 0 0 X 0 X X X 0 0 X X 0 X X X 0 0 X X 0 0 X X 0 X X X X X 0 0 0 0 X generates a code of length 79 over Z2[X]/(X^2) who´s minimum homogenous weight is 66. Homogenous weight enumerator: w(x)=1x^0+28x^66+86x^67+165x^68+190x^69+249x^70+346x^71+359x^72+350x^73+385x^74+396x^75+445x^76+452x^77+459x^78+444x^79+460x^80+480x^81+452x^82+426x^83+333x^84+378x^85+325x^86+270x^87+177x^88+146x^89+109x^90+68x^91+87x^92+52x^93+29x^94+12x^95+17x^96+10x^98+2x^100+2x^102+2x^104 The gray image is a linear code over GF(2) with n=158, k=13 and d=66. This code was found by Heurico 1.16 in 13.4 seconds.