The generator matrix 1 0 0 1 1 1 X 1 1 X^2+X 1 1 X X^2+X X 0 1 1 1 1 X^2+X X^2+X 1 1 1 1 0 0 1 X^2 X^2 1 1 1 X^2+X X^2 1 X^2+X 1 X^2 1 1 1 X^2+X X^2+X 1 1 0 1 X^2+X 0 1 1 X^2+X 0 1 1 1 X^2+X 0 1 X^2+X X 1 X^2+X 1 X 1 1 1 1 0 1 0 X 1 X^2+X+1 1 X^2+X 0 X^2 1 X+1 X^2+X 1 1 1 X^2+X+1 X^2+X 0 X^2+1 1 1 X^2+1 X 0 X+1 1 0 X^2+X 1 X X^2+X+1 X^2 X 1 1 X^2+X+1 X^2+X 1 1 X^2+1 X^2+X X^2+1 X^2 1 X X^2+X+1 1 X^2+X+1 X^2 X 0 X 1 X X+1 1 0 1 1 X^2+X+1 1 1 0 1 X^2 1 0 X+1 X^2+1 0 0 0 1 1 X^2+X+1 X^2+X 1 X+1 X^2+X 1 1 0 1 X+1 X X+1 1 X^2 X^2+X+1 X^2+X 0 X 0 X X^2+1 X^2+X+1 X+1 1 X^2+X+1 1 1 1 X X^2+1 X^2+X+1 X^2 X^2+X+1 1 X^2 X^2+X X^2+X X^2+1 X+1 1 X+1 0 1 1 X 1 1 1 X+1 X 1 0 0 X^2+X+1 X^2+X+1 X^2 X X+1 X^2+1 X X^2 X X^2+X+1 X+1 X+1 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 generates a code of length 71 over Z2[X]/(X^3) who´s minimum homogenous weight is 63. Homogenous weight enumerator: w(x)=1x^0+60x^63+267x^64+304x^65+639x^66+490x^67+826x^68+540x^69+923x^70+498x^71+860x^72+430x^73+738x^74+330x^75+510x^76+214x^77+231x^78+134x^79+78x^80+42x^81+23x^82+20x^83+16x^84+6x^85+5x^86+4x^87+2x^88+1x^94 The gray image is a linear code over GF(2) with n=284, k=13 and d=126. This code was found by Heurico 1.16 in 3.6 seconds.