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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 X X 0 X^3+X^2 0 0 0 X^2 X^3+X^2 X^2 0 0 0 0 X^2 X^3+X^2 X^2 X^3+X^2 0 0 X^2 X^2 X^3 X^2 X^3 X^2 0 X^3+X^2 X^3 X^3 X^2 X^3 X^2 X^3+X^2 0 X^3+X^2 0 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 0 X^2 X^3+X^2 X^3 0 0 X^3+X^2 X^2 0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^3 X^2 X^3 0 X^3+X^2 X^3+X^2 X^3 0 X^2 X^3+X^2 0 X^2 X^3 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 0 0 X^3+X^2 X^2 X^3 0 X^2 0 0 X^3+X^2 0 X^2 X^2 X^3+X^2 0 X^2 0 0 X^3+X^2 X^2 X^3+X^2 0 0 0 X^2 X^3+X^2 X^3 0 X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^2 0 X^3 X^3+X^2 0 X^2 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 X^3 X^2 0 0 X^3 X^3 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^2 0 0 X^3+X^2 X^2 X^3 X^3 0 X^3+X^2 X^2 X^3 X^3 X^2 X^3 0 X^2 0 X^2 X^2 0 X^3 0 X^2 X^2 X^2 X^3 X^3 X^3+X^2 X^3 X^2 0 0 0 X^2 X^2 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 X^2 0 X^3+X^2 0 0 X^3+X^2 X^2 0 X^3 X^3+X^2 0 X^2 X^3+X^2 X^2 0 X^3 X^3 0 X^3+X^2 X^3+X^2 0 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^3 0 X^3 X^3 X^3+X^2 X^3+X^2 0 X^2 X^3 X^3+X^2 X^3 X^3 X^2 X^2 0 X^3+X^2 X^3 0 X^2 X^2 0 X^3+X^2 0 X^2 X^3+X^2 0 X^3 X^3 X^2 X^2 X^2 X^2 X^3 0 X^3+X^2 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 X^2 X^3 0 0 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 X^3 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 0 0 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 0 X^3 0 0 0 X^3 0 0 0 0 X^3 0 0 generates a code of length 85 over Z2[X]/(X^4) who´s minimum homogenous weight is 80. Homogenous weight enumerator: w(x)=1x^0+147x^80+96x^83+151x^84+1344x^85+96x^87+148x^88+64x^92+1x^164 The gray image is a linear code over GF(2) with n=680, k=11 and d=320. This code was found by Heurico 1.16 in 7.42 seconds.