The generator matrix 1 0 0 0 1 1 1 0 1 1 1 X 0 1 X 1 1 X 1 0 1 1 0 1 X 1 1 1 0 0 X 0 0 X 1 1 0 1 X X 1 1 1 1 0 1 X 0 1 1 X 0 1 X 1 0 X 1 0 X X 0 1 X X 1 X 1 X X 1 1 1 1 0 X X 1 1 1 1 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X+1 X X+1 0 1 0 1 X 1 X 0 1 1 X+1 0 X 0 1 1 X 0 X+1 0 1 X+1 X X X 0 X+1 X+1 1 0 0 0 1 1 1 0 0 X 1 1 0 X+1 X X 1 1 X X 1 X+1 1 0 1 1 X+1 X X 0 1 X 1 X X 1 0 0 0 1 0 1 1 0 1 0 X+1 X 0 X+1 1 1 X X+1 X+1 X+1 0 X 0 1 0 X+1 X 1 X 1 1 X 1 X 1 X+1 X+1 0 X 1 1 1 1 1 X+1 X X+1 1 0 1 X X 0 0 1 X X 1 0 0 1 0 X+1 0 0 1 1 X+1 X X 0 X+1 X+1 1 X X 1 1 0 0 1 1 0 0 0 1 1 0 1 1 1 0 X X+1 X X+1 X+1 X 0 X+1 1 0 0 X+1 X+1 X+1 X 1 0 1 X X X+1 0 1 0 X 0 X+1 X X+1 X+1 X X+1 1 0 X+1 X 1 1 0 X 1 1 1 1 1 1 0 X+1 1 X+1 0 X+1 1 1 X X X+1 X+1 1 X X+1 X X+1 1 X+1 0 0 0 X+1 X+1 1 0 0 0 0 X 0 0 0 0 X 0 X X 0 X X X 0 0 0 X X 0 0 0 0 X X X 0 0 X 0 0 0 X 0 X X 0 0 0 X X 0 X 0 X X 0 X 0 0 X 0 0 X X X X X X X 0 0 X X 0 X X X X 0 X X 0 X X X 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 X 0 X X X X X X 0 X X X 0 X X X 0 X X 0 X 0 0 0 X 0 X 0 0 X 0 0 X 0 0 0 X X 0 0 X X X 0 0 X 0 0 X 0 0 0 X 0 X X X 0 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 X X 0 0 0 0 X 0 X X X X 0 0 0 0 X X X X X 0 X X X X 0 0 0 X 0 X X 0 X X X X 0 0 0 0 X 0 0 X X X 0 X X X X X 0 0 X X 0 0 X 0 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 X 0 X X X X 0 0 X 0 0 X X 0 X 0 0 0 X 0 X X 0 X X X 0 0 0 X 0 X 0 X X 0 0 X X X 0 X X 0 X X X 0 0 0 0 X X 0 X X 0 0 0 X X X X 0 0 X X X 0 X generates a code of length 81 over Z2[X]/(X^2) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+61x^70+92x^71+120x^72+204x^73+219x^74+224x^75+194x^76+246x^77+268x^78+190x^79+213x^80+222x^81+253x^82+212x^83+167x^84+182x^85+174x^86+178x^87+119x^88+114x^89+121x^90+98x^91+60x^92+44x^93+40x^94+28x^95+18x^96+12x^97+15x^98+2x^99+3x^100+1x^102+1x^104 The gray image is a linear code over GF(2) with n=162, k=12 and d=70. This code was found by Heurico 1.16 in 3.11 seconds.