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 1 1 1 1 1 1 1 1 1 X X 1 1 1 1 1 1 X 1 1 X 1 1 1 1 X 1 1 X 0 1 1 1 X X X X 1 1 0 X 0 0 0 0 0 0 0 0 0 0 0 X X X 0 0 0 0 X X X X 0 X X 0 X X 0 X 0 X 0 0 0 X 0 X 0 0 X X X 0 X X 0 X X 0 0 X X 0 X X 0 0 X 0 0 0 0 X 0 0 0 0 0 0 0 0 X X X X X 0 X X X 0 X X X 0 X X 0 0 0 0 0 X 0 0 X 0 X X 0 X 0 X 0 0 X X X X 0 X X X X X 0 0 0 X 0 X 0 X 0 0 0 X 0 0 0 0 0 0 X X X 0 X X 0 X X 0 0 0 0 0 0 0 0 X 0 X X 0 X X X 0 X X 0 X X X X 0 0 X 0 X X X 0 X 0 0 X 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 X 0 X 0 X 0 X 0 X X X 0 0 X 0 X X X X X X X 0 0 0 0 0 0 X X X X X 0 0 X X X X X X X 0 X X X X X 0 X 0 X 0 0 0 0 0 0 X 0 0 0 X 0 0 X 0 0 X X X X 0 X 0 X X 0 X 0 0 X X X 0 X X 0 X 0 0 0 0 X X 0 0 0 X 0 X 0 0 X 0 X X 0 0 X X 0 0 X X 0 0 0 0 0 0 0 X 0 0 X 0 X 0 X 0 0 0 X 0 0 0 X X X X X 0 0 X 0 X 0 0 X X 0 X X X 0 X X X X 0 0 0 X 0 0 0 0 X 0 X X 0 0 X 0 0 0 X 0 0 0 0 0 0 0 X 0 X X X 0 X 0 X 0 0 X X X 0 0 X X X X 0 0 X 0 0 0 X 0 0 X 0 0 X X X 0 X 0 0 0 0 X 0 X X 0 0 X X X 0 X X X X X 0 0 0 0 0 0 0 0 X X X 0 0 X X X X X 0 X 0 X 0 X X 0 X 0 X X X 0 X X X X 0 0 X X X 0 X X X X X X 0 0 X X X 0 X X X X X 0 X X 0 generates a code of length 63 over Z2[X]/(X^2) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+74x^54+117x^56+44x^58+84x^60+212x^62+203x^64+84x^66+44x^68+78x^70+49x^72+20x^78+12x^80+1x^88+1x^104 The gray image is a linear code over GF(2) with n=126, k=10 and d=54. This code was found by Heurico 1.16 in 7.91 seconds.