The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 X^2+X 1 1 1 0 1 0 1 1 X^2+X 1 1 0 X^2+X 1 1 1 0 1 1 1 X^2+X 1 1 1 1 1 1 1 1 0 X^2+X 1 1 1 0 1 0 1 1 X^2+X 1 1 1 1 X^2+X 1 1 X^2 X^2 1 X^2 1 X X^2+X 1 1 1 X^2 X^2+X 1 1 X^2+X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 X^2+X 1 X+1 0 X^2+1 1 X^2 1 X+1 X^2+X 1 X^2+1 0 1 1 X+1 X^2+1 X^2+X 1 X+1 0 X^2+1 1 X^2+X 0 X^2+X X^2+1 X+1 X^2+X+1 X^2+X 0 1 1 X^2+X X^2+1 X+1 1 0 1 X+1 X+1 1 X X^2+X 0 X+1 1 X^2+1 X 1 1 X 1 X^2+X+1 1 1 X^2+X+1 X^2+1 X^2+1 1 1 X+1 0 1 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 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 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 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 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 generates a code of length 76 over Z2[X]/(X^3) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+104x^64+8x^65+80x^66+108x^67+389x^68+460x^69+288x^70+1048x^71+540x^72+1856x^73+400x^74+2664x^75+586x^76+2664x^77+400x^78+1856x^79+480x^80+1048x^81+288x^82+460x^83+305x^84+108x^85+80x^86+8x^87+93x^88+40x^92+13x^96+8x^100+1x^104 The gray image is a linear code over GF(2) with n=304, k=14 and d=128. This code was found by Heurico 1.16 in 19 seconds.