The generator matrix 1 0 0 0 1 1 1 X 1 1 X 1 1 X 0 1 1 0 1 X 1 X 1 0 0 0 X 1 X 1 0 1 1 X X X 1 1 1 1 1 1 0 1 0 1 0 1 1 1 X 0 1 1 X X 0 0 X X 1 1 X 0 1 1 X 1 1 0 1 0 0 0 0 0 0 1 X+1 1 1 1 1 1 X X+1 1 X+1 X X 1 1 0 1 0 1 1 1 X+1 1 1 X+1 1 0 X X 1 0 X 0 X+1 1 X+1 X X 1 1 X X X 1 0 X+1 0 1 X X 1 1 X 1 1 0 X 0 1 X 0 0 0 1 0 0 1 X+1 1 1 1 X 0 X 1 1 0 0 X 1 1 X+1 X X+1 X 1 1 1 0 X X X 1 0 1 1 0 0 0 1 X X+1 0 1 X+1 X 1 0 X+1 X+1 X 0 X+1 X X 1 0 0 X X+1 X+1 0 1 X 1 1 X+1 X+1 0 X 0 0 0 1 1 X+1 0 X+1 0 1 X+1 X+1 X 0 X+1 0 X 0 X+1 X+1 X+1 X+1 X 1 1 X X X+1 1 X 1 1 0 0 1 1 1 1 1 1 X X X+1 1 1 X 0 X+1 1 0 1 0 X+1 X+1 1 1 1 1 1 X X+1 X 1 X 0 X+1 X 1 X+1 0 0 0 0 X X X 0 X X 0 X X 0 0 X X X 0 X 0 X 0 X X X 0 0 X 0 0 0 0 X X X 0 X 0 X 0 0 X 0 0 0 X X 0 0 0 X 0 X 0 0 X X 0 X X X 0 0 0 0 0 X 0 generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+94x^64+146x^66+70x^68+50x^70+55x^72+32x^74+27x^76+10x^78+12x^80+2x^82+7x^84+2x^88+4x^92 The gray image is a linear code over GF(2) with n=138, k=9 and d=64. This code was found by Heurico 1.16 in 0.0895 seconds.