The generator matrix 1 0 0 1 1 1 X 1 X^2+X 1 1 X 1 X^2+X 1 X^2+X 1 1 0 0 1 1 X^2 1 1 0 X^2 1 1 1 X^2+X 1 1 X^2 0 X^2 X^2+X 1 1 X 1 0 1 1 X^2 0 X^2 1 X 1 1 X^2+X X^2+X X^2 1 1 X^2+X X 1 1 X^2 1 0 0 1 1 1 1 X^2+X 1 1 X^2+X 1 1 1 1 0 1 0 0 1 X^2+X+1 1 X^2 0 X^2 X^2+X+1 1 X+1 1 0 1 X^2 X^2+X 1 1 X^2+X+1 X^2+X+1 X 1 X^2+X 1 X 1 X^2+1 X^2+1 1 X^2+X+1 X^2 1 1 0 X^2 X X^2+X+1 1 0 1 X^2+X 1 1 1 X X^2+X+1 1 0 X^2+X+1 1 X^2+X 1 X^2+X+1 0 1 X X^2+X+1 X 1 X 1 1 X^2+1 X 1 X^2+X 1 1 X 1 X X^2+1 1 X 0 0 1 1 X+1 0 1 X+1 1 X X+1 X X X+1 X+1 X^2+1 X X^2+X+1 0 1 X^2+1 X^2 1 X^2 X^2+X X 1 X^2+X 1 X^2+1 X^2+X+1 X^2+X 0 X^2 X+1 1 1 X^2+X+1 X+1 X X^2+X+1 X X^2+X X^2 X^2+X+1 1 1 1 X^2 0 X^2+X+1 X^2+1 1 1 1 X+1 X+1 1 0 X+1 X^2+X+1 X X^2+X+1 X^2+1 X^2+X+1 X^2+X+1 X^2+X X^2+X+1 X^2 X^2 X^2+1 X+1 1 X^2 0 1 0 0 0 X X X^2+X X^2 X^2+X 0 0 X X^2 X 0 X^2 X^2+X X X^2 X^2+X X 0 X^2 X 0 X^2+X X^2+X X^2 X X X^2 X X^2 X X X^2 X X X^2+X X X^2+X X^2 X^2+X 0 X^2 X X^2 X^2+X X^2+X 0 X^2+X 0 X^2 0 X X X^2+X X^2+X 0 0 X^2 X X^2+X 0 X X^2+X X^2 X^2+X X X X^2+X X^2 X X^2+X X^2 X^2 X^2+X 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 generates a code of length 76 over Z2[X]/(X^3) who´s minimum homogenous weight is 68. Homogenous weight enumerator: w(x)=1x^0+98x^68+234x^69+418x^70+560x^71+582x^72+642x^73+723x^74+750x^75+676x^76+666x^77+563x^78+510x^79+481x^80+384x^81+308x^82+176x^83+158x^84+106x^85+58x^86+48x^87+16x^88+14x^89+9x^90+2x^91+4x^92+2x^93+1x^94+2x^95 The gray image is a linear code over GF(2) with n=304, k=13 and d=136. This code was found by Heurico 1.16 in 3.81 seconds.