The generator matrix 1 0 1 1 1 X^2+X 1 1 X 1 1 X^2 X^2+X 1 X^2+X 1 1 1 0 1 1 1 1 X^2 X^2 X^2+X X^2 X 0 X^2+X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 0 X^2+X 1 1 1 1 X^2 X 1 1 0 1 1 X^2 X 1 X^2+X X^2 1 1 0 1 1 1 1 1 1 1 X^2 1 X^2+X 1 X 0 1 1 X^2+X X^2+X+1 1 X^2 X+1 1 X X^2+1 1 1 0 1 X+1 0 X+1 1 X 1 X 1 1 1 1 1 1 1 1 1 1 0 X^2+X X^2 X 0 X^2+X X^2 X X^2 X X+1 X^2+1 1 1 X^2+X+1 1 X+1 X^2+1 1 1 X^2+X+1 1 0 X^2 X 1 1 0 1 1 1 X^2+1 1 1 0 X^2+1 1 X^2+1 X^2 X^2+X+1 1 1 1 X^2 0 0 0 X 0 X^2+X 0 X X^2 X X^2+X 0 X^2+X X^2 X^2 X X^2 X X X^2 X^2+X X^2+X X^2 0 X^2+X 0 0 X X 0 0 X X 0 0 X X X^2 X^2 X X X^2 X^2 0 0 X^2+X X^2+X X X 0 0 X X X^2+X X^2+X X X^2+X X^2+X 0 0 X^2 0 X^2 0 X^2 X^2 X^2+X X X X X X^2+X X X^2+X X X^2+X X^2 X 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 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 0 0 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 generates a code of length 77 over Z2[X]/(X^3) who´s minimum homogenous weight is 71. Homogenous weight enumerator: w(x)=1x^0+142x^71+116x^72+260x^73+88x^74+246x^75+88x^76+266x^77+52x^78+306x^79+72x^80+164x^81+30x^82+90x^83+36x^84+42x^85+14x^86+10x^87+6x^88+4x^89+6x^90+4x^91+2x^95+1x^96+2x^102 The gray image is a linear code over GF(2) with n=308, k=11 and d=142. This code was found by Heurico 1.16 in 1.26 seconds.