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 1 0 X 1 1 0 X 0 0 X X 1 0 1 0 1 X 1 1 0 1 1 X 1 1 1 1 X 1 X 1 0 X 1 1 1 X 1 X 0 1 X 1 1 X X 0 1 0 1 0 X 0 0 X 1 X X 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 X 1 0 X+1 1 1 1 1 1 1 X 0 0 X 0 1 1 X+1 0 X 1 X 0 0 0 1 X+1 1 X 1 1 0 0 X X X 1 0 1 1 1 1 1 1 0 1 1 1 1 0 1 X 1 1 1 X 1 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 X 1 X X+1 X+1 0 X+1 1 1 1 0 0 X+1 X 0 X 0 1 1 X 0 1 1 X X X X+1 X X+1 1 X 1 X+1 X+1 X 1 X+1 0 0 X 0 X+1 X X 1 X+1 0 X 0 1 X X+1 X X+1 X+1 1 X 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 1 0 1 1 0 1 X X+1 X+1 X+1 1 X+1 X X+1 0 0 0 X 1 1 X 0 1 1 X+1 1 0 0 X+1 1 0 X 0 0 1 X 0 X X 1 X+1 X+1 X X+1 1 X+1 1 X+1 0 1 X X+1 X+1 1 1 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 0 X+1 X+1 1 1 0 0 X 1 X+1 1 X+1 X+1 X+1 1 X 1 X 0 1 X+1 X X+1 1 X+1 0 X+1 1 X X+1 X 1 X X 1 1 0 0 0 X+1 1 0 1 X+1 1 X X+1 X 0 X+1 0 X 1 0 X+1 0 0 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 X X X X 0 X X 0 X 0 0 X X X X 0 X X 0 X X X 0 X 0 X 0 0 0 0 0 0 0 0 X X X X 0 X X 0 0 X 0 0 X X X X X 0 X 0 X 0 0 X 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 X X X X 0 X 0 X X 0 X X X 0 0 X X X X 0 X X 0 0 0 0 X X X 0 X 0 0 0 0 X 0 0 0 0 X X X X X 0 0 0 0 0 0 0 X 0 X X 0 X 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 0 X 0 X 0 0 X X 0 0 X X X 0 X 0 X 0 0 X 0 X X X 0 X 0 X X X 0 0 0 0 0 X 0 X 0 0 X X 0 0 0 X 0 0 0 X X X 0 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 0 0 X X 0 X 0 X 0 X 0 X X 0 X 0 0 0 X X X 0 0 X X 0 X X X 0 X X 0 X X X X X 0 X 0 X 0 0 X 0 0 0 X X X 0 0 X 0 0 X generates a code of length 83 over Z2[X]/(X^2) who´s minimum homogenous weight is 69. Homogenous weight enumerator: w(x)=1x^0+72x^69+178x^70+234x^71+253x^72+416x^73+528x^74+594x^75+571x^76+676x^77+854x^78+746x^79+726x^80+864x^81+1076x^82+958x^83+822x^84+890x^85+944x^86+870x^87+690x^88+670x^89+674x^90+482x^91+412x^92+380x^93+263x^94+178x^95+85x^96+112x^97+73x^98+30x^99+16x^100+14x^101+16x^102+4x^103+5x^104+2x^105+1x^108+1x^110+1x^114+2x^116 The gray image is a linear code over GF(2) with n=166, k=14 and d=69. This code was found by Heurico 1.16 in 98.2 seconds.