The generator matrix 1 0 1 1 1 0 1 1 0 1 0 1 1 1 0 0 1 1 1 1 1 1 0 1 1 1 X 1 1 X 1 0 1 1 1 1 X 1 X 1 1 1 1 1 1 1 0 0 1 1 1 1 1 1 1 0 1 X 1 1 1 1 1 1 1 1 1 1 X 0 X 0 X 0 1 1 0 1 1 0 X+1 1 X+1 1 0 0 X+1 1 1 X+1 0 0 X X X+1 1 0 X 1 1 0 X+1 1 0 1 X+1 X 1 X 1 0 1 X+1 1 0 0 1 X+1 0 1 1 X 1 0 0 X+1 X+1 1 X X X X X X 0 X X+1 1 X 0 1 0 0 0 X X 0 0 X 0 0 0 0 0 X X X 0 X 0 X 0 X X X X 0 0 X 0 X X 0 0 X X X 0 0 X 0 X X 0 0 X X 0 X X 0 X 0 X 0 0 0 X 0 X X 0 X 0 X X X 0 0 0 0 X X X X X X 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 X X X X X 0 0 0 X X 0 0 X X X 0 X X 0 X X 0 X 0 X X X 0 X X X 0 X X 0 0 X 0 X 0 X X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 X 0 0 0 0 X 0 0 X X 0 X 0 X 0 X X 0 0 0 0 0 0 X X X 0 X X 0 0 0 X 0 X 0 0 X 0 X X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 X 0 X X 0 X 0 X 0 X 0 X X 0 X X X 0 0 0 0 0 0 X 0 X 0 X X X 0 X 0 0 X 0 0 X X X 0 0 0 X 0 X 0 0 X X 0 X 0 X X X 0 0 0 X 0 X 0 X X X 0 X X X 0 0 X 0 0 X 0 X X X X 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 0 X 0 0 0 0 X X X 0 X 0 X X X 0 0 X X 0 X 0 0 0 X X 0 X 0 X 0 0 0 X X X X 0 X 0 0 X X X X 0 0 X X 0 X X 0 X 0 0 X X 0 0 0 0 0 0 X X X 0 generates a code of length 73 over Z2[X]/(X^2) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+170x^68+153x^72+118x^76+41x^80+18x^84+4x^88+2x^92+4x^100+1x^104 The gray image is a linear code over GF(2) with n=146, k=9 and d=68. This code was found by Heurico 1.16 in 22 seconds.