The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X 0 X 1 1 1 0 1 X 1 1 0 1 1 X X 0 1 X 1 X 1 1 0 0 0 0 X 1 X 1 X 1 1 1 1 1 0 1 1 1 0 1 1 X 0 X 0 1 1 1 X 0 1 1 1 0 1 1 X 1 1 1 1 1 0 1 1 1 X 1 1 0 1 0 0 0 1 1 1 X 0 X+1 1 1 X 1 X X+1 0 0 X+1 X X+1 X 1 X X+1 1 0 1 1 0 1 1 1 X 0 1 1 1 1 X+1 1 0 0 0 X+1 X X+1 0 0 X+1 X+1 0 1 X 0 1 1 0 1 X X 0 1 1 X X+1 X X 0 X+1 0 X+1 X+1 X X+1 0 1 X+1 1 0 X X+1 1 0 0 1 0 1 1 0 1 0 X+1 0 X+1 X 1 1 X+1 X 0 1 X X X+1 0 1 X+1 X+1 0 1 0 0 1 X+1 1 0 X X 0 X+1 1 X+1 X 1 0 1 X+1 1 1 X 1 0 X 1 1 1 X X 0 0 1 0 X 0 X+1 0 X+1 X 1 1 1 X+1 X 1 X+1 X+1 X 1 X 1 X X+1 0 1 X+1 X+1 0 0 0 1 1 0 1 1 1 0 X X+1 1 1 0 0 0 X+1 X 1 1 X X 0 X+1 1 0 X+1 0 0 X+1 0 X+1 X+1 X 1 X 0 X+1 0 X X+1 X+1 X 0 X+1 1 X 1 1 X+1 X+1 1 0 X+1 X+1 1 1 X+1 1 X 1 X+1 X+1 X+1 0 1 1 1 X+1 1 1 0 0 X+1 1 0 X 0 1 1 1 1 1 0 0 0 0 X 0 0 0 0 X X X X X X X 0 0 0 0 X 0 0 X X 0 0 X 0 X X 0 X X 0 X X X 0 0 0 0 X 0 0 0 X X 0 0 0 0 0 X 0 X 0 0 0 X X 0 X 0 X X 0 0 X 0 X 0 X X 0 X X X 0 0 X 0 0 0 0 0 0 0 0 X 0 0 0 0 X 0 X X X X 0 X X X X 0 X 0 X X 0 0 X 0 X 0 0 0 0 X 0 0 0 X X 0 X 0 X X X X 0 X 0 X 0 0 X 0 X 0 0 0 0 X 0 X X X 0 0 0 X X 0 0 X 0 X 0 X 0 0 0 0 X X 0 0 0 0 0 0 X 0 0 0 0 X 0 0 X 0 X 0 X 0 0 X X 0 X X 0 X X X X 0 0 X 0 X 0 X X 0 0 0 X X X X 0 X X X 0 0 0 0 X X X X 0 X 0 0 0 0 X 0 0 X X 0 X X X 0 X 0 X 0 0 X 0 X 0 0 0 0 0 0 0 0 0 X 0 0 0 0 0 X X X 0 X 0 0 X 0 0 X 0 X X X 0 0 0 X X X X X 0 X X X X 0 X 0 0 0 0 0 0 X 0 X 0 0 X 0 X X X 0 X 0 X 0 X 0 X X 0 0 0 X X X X X X X X X X 0 X 0 generates a code of length 84 over Z2[X]/(X^2) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+48x^73+91x^74+150x^75+206x^76+208x^77+226x^78+246x^79+233x^80+226x^81+260x^82+190x^83+189x^84+204x^85+180x^86+198x^87+190x^88+190x^89+146x^90+144x^91+132x^92+106x^93+83x^94+72x^95+52x^96+40x^97+29x^98+20x^99+17x^100+2x^101+6x^102+4x^103+4x^104+1x^106+1x^110+1x^114 The gray image is a linear code over GF(2) with n=168, k=12 and d=73. This code was found by Heurico 1.16 in 3.37 seconds.