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 X^2 1 X^2 X 1 1 0 X X^3+X^2 X^2+X 0 X^2+X X^3+X^2 X^3+X X^2+X 0 X^3+X X^3+X^2 X^3+X X^3 X^2 X^2+X X^3+X^2+X 0 X^3+X^2 X^3+X X^2+X 0 X^3+X^2 X^3+X 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X 0 X^2+X X^3+X^2 X^3+X 0 X X^3+X^2+X X^2 X^3 X^3+X^2+X X^3+X^2 X X^3 X^2+X X^2 X^3+X 0 X^3 0 X^2+X X^3+X^2+X X^2+X X^3 X^3+X^2+X X^3+X^2 X^3+X^2 X^2 X^2 X^3+X X^3+X X X 0 0 X^3 X^3 X^2+X X^2+X X^3+X^2+X X^3+X^2+X 0 0 X^3+X^2 X^3 X^3+X^2 X^2+X X X^3+X^2 0 0 X^3 0 0 0 X^3 0 X^3 0 X^3 X^3 X^3 0 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 0 0 X^3 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 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 0 X^3 0 0 0 0 0 0 0 0 0 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 X^3 0 0 X^3 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 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 0 0 X^3 0 0 0 0 0 0 0 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 0 0 X^3 0 0 0 0 0 X^3 0 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 X^3 X^3 X^3 X^3 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 X^3 X^3 0 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 X^3 0 X^3 X^3 0 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 X^3 X^3 0 0 X^3 0 X^3 0 X^3 X^3 0 0 X^3 0 0 0 0 0 X^3 X^3 generates a code of length 80 over Z2[X]/(X^4) who´s minimum homogenous weight is 75. Homogenous weight enumerator: w(x)=1x^0+82x^75+75x^76+154x^77+123x^78+212x^79+760x^80+212x^81+123x^82+154x^83+57x^84+82x^85+9x^86+3x^88+1x^154 The gray image is a linear code over GF(2) with n=640, k=11 and d=300. This code was found by Heurico 1.16 in 6.7 seconds.