The generator matrix 1 0 0 0 1 1 1 X 1 1 X X 1 1 0 1 0 1 1 1 1 1 1 1 X 0 X 0 1 0 0 X 1 1 X 1 0 1 1 0 1 X 0 1 X 1 1 0 1 1 0 X X 0 0 X 0 X 1 1 1 1 1 X X 1 X 1 1 0 1 0 0 0 0 0 X 1 X+1 1 1 X+1 X+1 1 0 X 1 0 1 X 1 X+1 X 1 1 1 1 0 1 0 X X+1 X X 0 X X 1 1 X+1 0 1 X 1 0 1 0 1 X+1 0 1 0 0 1 X X 1 X 1 X X+1 X+1 1 1 X+1 0 1 X 0 0 1 0 0 1 X+1 1 X+1 1 X 1 0 X X+1 X 1 1 X+1 X 1 X+1 0 X 1 X X+1 0 X 0 1 1 X X+1 1 0 X X+1 1 0 0 1 1 X 0 1 1 1 0 0 0 0 X 1 1 1 1 0 1 0 X 0 1 0 X 1 X 0 X+1 0 0 0 1 1 1 0 1 X X+1 X+1 0 0 1 1 0 0 X X 1 X+1 X+1 0 X+1 X 0 X+1 X+1 X X X+1 X X+1 0 0 X+1 1 1 X X X X+1 1 X+1 X+1 X+1 X X 1 0 1 1 1 0 0 X 1 1 1 X+1 X 1 0 0 X+1 X+1 1 0 X 0 0 0 0 X 0 0 X 0 0 0 X X X X X X X X 0 X X 0 0 0 0 0 0 X X X X 0 0 0 X X X 0 X 0 0 0 X 0 0 0 0 0 0 0 0 X X 0 X X X X X 0 X X 0 X 0 X X 0 0 0 0 0 0 X X X X X 0 X 0 0 X 0 X 0 0 X 0 0 X X X X X X X 0 0 0 0 0 X X 0 X 0 X 0 X 0 X 0 0 X X 0 0 X X 0 0 0 X 0 0 0 X 0 X X X 0 0 X 0 0 generates a code of length 69 over Z2[X]/(X^2) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+100x^62+165x^64+178x^66+159x^68+109x^70+92x^72+61x^74+48x^76+37x^78+38x^80+25x^82+5x^84+2x^86+4x^88 The gray image is a linear code over GF(2) with n=138, k=10 and d=62. This code was found by Heurico 1.16 in 0.221 seconds.