The generator matrix 1 0 0 1 1 1 X 1 1 0 0 X 1 1 1 0 1 1 1 0 X 1 1 1 1 0 0 X 0 1 1 X 1 1 0 X X 1 1 0 1 0 1 1 X X 1 1 1 0 X X X X 0 0 1 0 1 1 X 1 0 1 1 1 1 0 1 0 0 1 1 1 0 X X 1 1 1 X+1 0 1 1 X 1 1 0 0 0 1 X+1 1 1 X 0 X+1 X+1 X X 0 X 1 1 X+1 X 1 X 1 X+1 1 X 1 0 X+1 X 1 0 0 0 0 0 X X+1 1 X 0 0 0 X X 1 0 0 0 0 1 1 1 0 1 X X+1 1 0 1 X+1 X 0 X+1 X+1 1 X 0 1 0 1 X+1 X X 1 1 1 X+1 0 1 X X+1 1 X 1 0 1 0 0 1 1 0 1 X 1 X+1 0 1 X 1 1 1 X 1 X+1 X 0 1 1 X 1 0 1 X X 0 0 0 X 0 0 0 0 0 0 0 0 X X X X 0 0 0 X 0 X X X X X X 0 X X 0 X X 0 X 0 X 0 X 0 X X X X X X 0 0 0 0 X X X X X 0 X 0 X X 0 X X X X 0 X 0 0 0 0 X 0 0 X X X X X X X X 0 X 0 0 X X 0 X X X 0 X 0 X 0 X 0 0 X X X X X X 0 X 0 0 0 0 X 0 0 X X 0 X 0 X X X X X X X 0 0 0 0 0 0 0 0 0 0 0 0 X 0 0 0 X X X X X X X X 0 0 X 0 X 0 0 0 0 0 X X X X X 0 X 0 0 X 0 X X 0 0 0 X 0 0 X X X 0 0 X X 0 0 0 0 X X X X X 0 0 0 X 0 generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 61. Homogenous weight enumerator: w(x)=1x^0+28x^61+56x^62+50x^63+63x^64+46x^65+32x^66+46x^67+29x^68+32x^69+17x^70+20x^71+21x^72+14x^73+12x^74+6x^75+9x^76+8x^77+8x^78+2x^79+3x^80+2x^84+3x^86+4x^87 The gray image is a linear code over GF(2) with n=134, k=9 and d=61. This code was found by Heurico 1.16 in 0.078 seconds.