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 X 1 X X X 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 X^3+X^2 0 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 X^3 X^3 X^2 X^3 X^2 X^3 X^2 X^3 X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^2 X^3 X^2 0 X^3+X^2 X^3 X^2 X^3 X^2 X^3 X^2 0 X^3+X^2 0 X^3+X^2 0 X^3 X^3+X^2 X^2 0 0 0 X^3+X^2 X^3+X^2 X^3+X^2 X^3+X^2 X^3 0 0 X^3 0 0 0 X^3 0 0 0 0 0 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 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 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 0 0 X^3 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 0 0 X^3 0 0 0 X^3 0 0 0 0 0 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 0 X^3 0 0 0 0 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 0 0 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 0 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 X^3 0 0 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 0 0 0 generates a code of length 80 over Z2[X]/(X^4) who´s minimum homogenous weight is 76. Homogenous weight enumerator: w(x)=1x^0+44x^76+16x^77+42x^78+48x^79+719x^80+48x^81+52x^82+16x^83+32x^84+2x^86+3x^88+1x^152 The gray image is a linear code over GF(2) with n=640, k=10 and d=304. This code was found by Heurico 1.16 in 0.563 seconds.