The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X 0 0 0 1 1 1 1 X X X 0 0 0 1 1 1 1 X X 0 X 0 X 0 X 1 1 1 1 X 0 X 0 X X 0 X 1 1 1 1 X X X 0 X 0 X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 X X X X 0 0 0 X X 0 X X X X 0 0 0 X X 0 0 0 X X X X 0 0 0 X X 0 0 X X 0 X X 0 0 0 X X 0 X 0 0 0 X X 0 X X 0 0 X X 0 0 X X 0 0 X X 0 0 X X 0 X X 0 0 X X 0 X X 0 X X 0 0 X X 0 X X 0 0 X X X X 0 0 0 0 X X 0 X X X X 0 0 0 0 0 X X 0 X X 0 generates a code of length 71 over Z2[X]/(X^2) who´s minimum homogenous weight is 74. Homogenous weight enumerator: w(x)=1x^0+6x^74+6x^76+2x^78+1x^80 The gray image is a linear code over GF(2) with n=142, k=4 and d=74. This code was found by Heurico 1.16 in 0.0836 seconds.