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 X^2 1 1 1 1 1 1 X 1 1 1 1 X^3 1 1 1 1 X 1 1 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^2 X^3 X^3+X^2 X^3+X^2 0 X^3+X^2 0 X^3 X^2 0 X^3+X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 X^3+X^2 0 X^3 X^2 X^2 X^3 0 X^3+X^2 X^3+X^2 X^2 0 X^3 X^3+X^2 X^3 X^2 0 X^2 0 X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 0 0 X^3+X^2 0 0 X^3 X^3+X^2 X^3+X^2 X^3 0 X^3 X^3+X^2 X^2 0 0 0 0 0 X^3 0 0 0 0 0 X^3 0 0 0 0 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 0 0 0 X^3 0 0 X^3 0 0 0 X^3 X^3 0 0 0 0 0 0 X^3 0 0 0 X^3 0 0 0 0 X^3 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 0 0 0 0 0 0 X^3 0 0 0 0 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 0 0 X^3 0 0 0 X^3 X^3 0 X^3 X^3 0 X^3 0 0 0 0 0 0 0 0 X^3 0 X^3 0 0 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 0 X^3 0 0 0 0 0 0 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 0 0 0 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 0 0 generates a code of length 70 over Z2[X]/(X^4) who´s minimum homogenous weight is 64. Homogenous weight enumerator: w(x)=1x^0+63x^64+120x^66+87x^68+512x^69+576x^70+512x^71+56x^72+48x^74+24x^76+8x^80+24x^82+16x^84+1x^132 The gray image is a linear code over GF(2) with n=560, k=11 and d=256. This code was found by Heurico 1.16 in 0.453 seconds.