The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 X^2 1 X X 1 X^2 X 1 0 X^3+X^2 0 X^2 0 0 X^2 X^2 X^3 X^3 X^2 X^3+X^2 0 X^3 X^2 X^2 0 X^3 X^2 X^3+X^2 0 X^3+X^2 X^3 X^3+X^2 0 X^3 X^2 X^3+X^2 0 0 X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^2 0 X^3 X^3 X^3+X^2 X^3 X^2 X^2 0 X^3+X^2 0 X^3 X^3 X^3 X^2 X^3 0 X^3+X^2 X^2 0 0 X^2 0 0 X^2 X^3 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^3 0 X^2 X^2 X^3 X^2 X^2 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^3+X^2 0 X^3 X^2 X^2 0 0 X^2 X^3+X^2 0 X^3 X^2 X^2 0 X^2 X^2 X^3 X^3 X^3 X^2 X^3 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 X^2 X^3 0 X^3+X^2 X^3+X^2 0 X^3 X^3 X^2 0 X^2 X^3+X^2 0 X^3+X^2 X^2 0 X^3 X^3 0 X^3+X^2 X^3+X^2 X^2 X^3+X^2 X^2 X^3 X^3 X^3+X^2 0 0 X^2 X^3 X^3 X^3+X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^3+X^2 X^3 0 0 0 X^3 0 0 X^3 0 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 0 0 X^3 0 0 0 X^3 X^3 0 X^3 0 0 X^3 0 0 X^3 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 0 0 0 0 X^3 0 0 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 X^3 0 0 0 0 0 X^3 0 0 0 X^3 X^3 0 generates a code of length 76 over Z2[X]/(X^4) who´s minimum homogenous weight is 70. Homogenous weight enumerator: w(x)=1x^0+23x^70+74x^71+52x^72+64x^73+194x^74+386x^75+531x^76+374x^77+142x^78+88x^79+39x^80+4x^81+18x^82+18x^83+16x^84+6x^85+7x^86+10x^87+1x^140 The gray image is a linear code over GF(2) with n=608, k=11 and d=280. This code was found by Heurico 1.16 in 0.562 seconds.