The generator matrix 1 0 1 1 1 0 1 1 0 1 1 0 1 1 X 1 1 X 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X 1 1 X 1 1 0 1 1 0 1 1 X 1 1 X 1 1 1 0 1 1 0 1 1 X+1 0 1 0 X+1 1 X X+1 1 X 1 1 X X+1 1 X 1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 0 X+1 1 0 X+1 1 X 1 1 X 1 1 0 0 0 0 0 X 0 0 0 0 X X X X X X 0 X X 0 X 0 X 0 0 X 0 0 0 0 X X X X X X 0 0 0 0 0 X X X 0 X X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 X 0 0 0 0 X X X X 0 X 0 X 0 0 0 X X X 0 X X 0 0 0 X X X X 0 0 0 0 0 X X X 0 0 0 0 0 0 0 0 X 0 X X X X 0 X X X X X X X 0 0 0 0 0 0 X 0 X 0 X 0 0 X 0 X 0 X X 0 0 0 X X 0 X 0 X 0 X 0 0 0 generates a code of length 51 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+30x^48+64x^51+30x^54+1x^64+2x^70 The gray image is a linear code over GF(2) with n=102, k=7 and d=48. This code was found by Heurico 1.16 in 0.0187 seconds.