The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 X 1 1 1 1 0 1 X 1 1 1 0 1 1 0 1 X 1 1 X 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 X X 1 1 1 1 0 1 1 1 0 1 1 1 1 0 0 1 1 0 1 1 0 1 1 X X+1 1 1 0 X+1 X+1 0 1 X 1 X+1 X+1 0 1 0 X+1 1 X+1 1 0 X 1 1 X+1 0 X+1 X+1 1 X+1 1 0 X X+1 X+1 0 0 X+1 X+1 X+1 1 1 1 1 1 1 X X 1 X+1 X 1 1 1 0 0 0 X 0 0 X 0 0 0 0 0 0 0 X 0 0 X X 0 0 X X X X X X X 0 0 0 0 X 0 X X 0 0 X X X 0 X X 0 X 0 0 X X X 0 X 0 X 0 0 X 0 X X 0 0 X 0 0 0 0 0 X 0 0 0 0 X 0 0 0 0 0 X 0 0 0 X X X X 0 0 0 0 X X X X 0 X 0 0 X X X 0 X X 0 X 0 0 0 0 X 0 X X X 0 X 0 0 0 X 0 0 X X 0 X 0 0 0 0 X X 0 X X 0 0 0 0 X 0 0 0 0 0 X X X 0 0 X X 0 X 0 X X X X X X 0 X X X X X X X 0 X X 0 X 0 X 0 0 0 0 X 0 X X 0 X 0 X X X 0 X X 0 0 0 X X X X X 0 0 0 0 0 0 X 0 0 X 0 0 X 0 0 X X 0 X 0 0 0 X X X 0 X X 0 X X 0 X X 0 X 0 0 0 X 0 0 X 0 0 0 0 X 0 X X 0 X X 0 0 X X X X 0 X 0 0 0 X 0 X 0 0 0 0 0 0 X 0 X X 0 0 X 0 X X X X X X 0 X X X 0 X 0 X X 0 0 0 X 0 0 X 0 X X X 0 X 0 X X X 0 X 0 0 0 X 0 0 0 0 X X 0 X X 0 X X X X X 0 0 0 0 0 0 0 X X 0 X 0 X 0 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X 0 0 0 X X 0 X X 0 X X 0 X 0 0 X X X X 0 0 X X X 0 X 0 X X 0 X 0 X X X X generates a code of length 67 over Z2[X]/(X^2) who´s minimum homogenous weight is 60. Homogenous weight enumerator: w(x)=1x^0+199x^60+285x^64+217x^68+247x^72+53x^76+9x^80+7x^84+1x^88+4x^92+1x^96 The gray image is a linear code over GF(2) with n=134, k=10 and d=60. This code was found by Heurico 1.16 in 5.04 seconds.