The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X X 0 1 1 1 1 0 1 X 1 1 X 0 0 1 0 X 1 1 1 1 0 1 1 0 X X 1 1 0 X X 0 1 1 1 X 1 1 1 1 0 1 X 1 1 X 1 0 1 0 0 0 1 1 1 0 0 X+1 X+1 1 X 1 X X+1 0 1 1 0 1 X 0 X 1 1 X+1 X 0 0 1 X+1 X+1 1 1 X 1 1 1 0 0 X X 1 1 0 X X+1 X 1 X+1 0 X 0 1 1 X+1 0 1 0 0 0 1 0 1 1 0 1 0 1 1 0 0 1 X+1 X+1 X 0 1 X+1 X+1 X 0 0 1 X X+1 0 X 1 X X X+1 0 1 1 X+1 X X+1 X 1 X X X X+1 X 1 1 X+1 1 0 X X+1 0 X X 1 X X 0 0 0 0 0 1 1 0 1 1 1 0 1 X 1 1 0 X 1 X+1 X X+1 1 1 0 X+1 0 0 X 0 1 X+1 X X X+1 1 1 1 0 X+1 0 0 1 0 1 1 1 X 0 0 0 1 X+1 X 1 X+1 1 1 X X+1 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X 0 0 X X X 0 X 0 0 0 X 0 X 0 0 X 0 X X X 0 X 0 X 0 X X 0 X 0 0 0 X 0 0 X 0 0 0 0 0 0 X 0 0 0 0 0 0 X 0 0 0 X X 0 X X X 0 0 X 0 X X 0 X 0 0 0 0 0 X X X X 0 X X 0 0 X X 0 X 0 X X X 0 0 0 X 0 X X 0 0 0 0 0 0 0 0 X 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X X X X X X X X X X X X X X X X X 0 0 X 0 X 0 X X X X 0 0 0 0 0 0 0 0 X 0 0 X X 0 0 X 0 0 X X 0 X 0 0 0 X 0 X X X 0 X 0 0 X 0 0 0 0 X X X X 0 X X X 0 0 0 0 X X 0 X X X 0 0 0 X 0 0 0 0 0 0 0 0 0 X 0 X 0 0 0 0 X 0 0 0 0 X X X 0 X X 0 X 0 0 X X 0 0 0 X X X X X 0 X 0 X 0 0 0 X X X X 0 X X X X 0 0 X X X 0 0 0 0 0 0 0 0 0 X 0 X X X X 0 0 X 0 0 X 0 X X X 0 0 X X 0 0 X 0 0 X 0 X 0 0 0 0 X 0 X X X X 0 0 0 0 X X 0 0 X 0 X 0 0 X generates a code of length 61 over Z2[X]/(X^2) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+83x^48+80x^49+214x^50+284x^51+405x^52+454x^53+605x^54+706x^55+812x^56+894x^57+922x^58+1058x^59+1053x^60+1142x^61+1065x^62+1134x^63+947x^64+988x^65+841x^66+720x^67+583x^68+434x^69+343x^70+158x^71+184x^72+102x^73+82x^74+34x^75+23x^76+2x^77+19x^78+2x^79+5x^80+4x^82+1x^98 The gray image is a linear code over GF(2) with n=122, k=14 and d=48. This code was found by Heurico 1.16 in 63.6 seconds.