The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 1 1 1 1 1 1 X X X X 1 1 1 1 1 1 1 1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 0 0 1 1 0 1 1 X+1 0 1 0 X+1 1 0 X+1 1 0 1 1 0 X+1 1 0 1 1 X X+1 1 X X+1 1 X X+1 1 X X+1 1 X X X X 1 1 1 1 1 1 1 1 0 0 0 0 0 X 0 X 0 X X X X+1 1 X X+1 X 1 X+1 X 1 X+1 1 X 0 0 X X 0 0 X 0 0 0 0 X X X X X 0 0 0 X X X 0 X 0 X 0 X X 0 X X 0 X 0 X 0 0 X 0 X X 0 0 X X 0 0 X X 0 0 0 0 0 0 X X X X X 0 X 0 0 0 0 X 0 X X 0 0 0 X 0 X X X 0 0 0 0 X 0 X X X X 0 X 0 0 0 X X X 0 X 0 0 0 X X 0 0 0 X X X X X X 0 0 0 0 X X 0 0 X X 0 0 X X 0 0 0 X X X 0 X 0 0 0 X X 0 X X X X X 0 0 0 X 0 0 0 X 0 0 0 0 0 0 X 0 X X X X 0 X X 0 X 0 X 0 X X X 0 0 0 0 X 0 X 0 X 0 X 0 X 0 X X 0 X 0 X 0 X 0 X 0 X 0 0 X X 0 0 0 X X X X X X 0 X 0 0 X X 0 X X 0 X 0 0 0 0 0 generates a code of length 76 over Z2[X]/(X^2) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+22x^73+20x^74+20x^76+40x^77+10x^78+11x^80+2x^89+1x^94+1x^110 The gray image is a linear code over GF(2) with n=152, k=7 and d=73. This code was found by Heurico 1.16 in 0.516 seconds.