The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 0 1 1 X^2 X 1 1 X 1 1 X^2 1 1 1 1 1 1 0 X 1 X^2 1 1 1 X^2+X 1 1 X^2 1 1 1 1 X^2+X 1 0 1 1 0 1 0 1 X^2+X 1 1 1 1 X^2+X X 1 X 1 0 1 1 X X 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 X X+1 1 X^2 X^2+1 1 1 X^2+X 1 1 0 X^2+X+1 1 1 0 X^2+1 X^2+X X^2+X+1 X 1 1 X^2+1 1 X^2+1 X+1 X^2+X 1 X^2+X X^2 1 X X+1 X+1 X^2+X 1 1 1 X^2+X X^2+X+1 1 X^2 1 X^2+X 1 X^2+X+1 X^2+1 X^2+X X+1 1 X X^2+1 1 X^2 1 X^2+1 X+1 X^2 0 0 0 0 X 0 X^2+X 0 X^2+X X^2 X X X X^2 X^2+X 0 X^2 X^2+X X^2 X^2+X X 0 X^2+X X^2 0 X 0 X X^2 X^2+X 0 X^2+X X^2 0 X X^2 X^2+X X^2 0 X^2 0 X X X X X X^2 0 0 0 X^2 X X X^2+X 0 0 X^2+X X 0 0 X^2 X X^2 X 0 X^2 X X X^2+X 0 X^2+X X^2+X X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 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 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 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 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 generates a code of length 71 over Z2[X]/(X^3) who�s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+187x^64+84x^65+372x^66+108x^67+594x^68+236x^69+492x^70+180x^71+474x^72+236x^73+364x^74+84x^75+322x^76+84x^77+158x^78+12x^79+56x^80+14x^82+18x^84+6x^86+10x^88+2x^90+2x^92 The gray image is a linear code over GF(2) with n=284, k=12 and d=128. This code was found by Heurico 1.16 in 1.45 seconds.