The generator matrix 1 0 0 0 1 1 1 X 1 X^2+X 1 X^3+X 1 1 X^3+X^2 X^3+X^2+X X^2+X X^3 1 1 1 1 X^2 X^3 1 X^3+X 1 1 0 1 1 X^3+X^2 1 1 1 1 1 1 X^3+X 0 1 1 X^3+X X^3+X^2 X^3 X^2+X X^3 X^3+X 0 1 X^3+X^2 1 X X^2 1 X^3+X^2+X 1 X X^3 0 1 1 X^3+X X^2+X 1 0 X^3+X^2+X 1 X^3+X^2+X 0 X^3+X 1 X^3+X 1 X^3+X^2 X^3+X^2 1 1 X^3+X 1 0 1 0 0 X^3 X^3+X^2+1 X^3+X+1 1 X^2 X^2 X^2 1 X^2+X+1 X^2+1 1 X^2+X 1 X^3+X^2+X 1 X^3+X^2+X+1 X^3+X X^2+1 X^2+X 1 X^3+X^2+X 1 X^3 X^3+X^2+X+1 1 1 X+1 X^3 X^3+X X^2 X^3+1 X^3+1 X+1 X^3+X^2 1 1 X X^2+X X^3+X 1 X^3+X^2 X^3+X^2+X X^3 1 1 0 1 X^2+X+1 0 1 X^3+X^2+X+1 X^3 X 1 X X X^2 X^2+1 1 1 1 1 1 X^3+X^2+X X^3+X^2+X X^3+X X^2 X^3 1 X^2+X 1 1 X^2+1 X^2+1 1 X^3 0 0 1 0 X^3+X^2 X^3 X^2 X^2 1 1 X^3+X+1 X^3+X+1 X^3+1 X+1 X^2+X+1 1 X^2+X+1 1 X+1 0 X^3+X^2+1 X^2+X+1 X^3+X^2+X X^3+X^2+X X^3 X X X 1 X^3+1 X^3+X 1 X^3+X^2+X+1 0 X^3 X^2+1 X^3 X^3+X^2+X+1 X^2+1 X^2+1 X^2+X X^3+X 1 1 X^3+X^2+X X^2 1 X^3+X^2+X X^3+X^2 X^3+X^2+X X^3+X^2+X+1 X^3+X+1 1 X^3+X+1 X^2+1 1 X^3+X^2+1 X^3+X^2 0 1 X^3+X+1 X^2+X X^2+1 X^3+X^2+X X^3+X^2 X^2 X^3+X X 1 1 X^3+X^2+X X^3+1 X^3 X^3 X X^2+1 X^3+X^2+X+1 X^3 X^3+X^2+X+1 X^2+X 0 0 0 1 X^2+X+1 X^3+X^2+X+1 X^3 X+1 X^3+X+1 X^3+X^2+X+1 0 X^3+X^2+1 X^3+X^2+X X^3+X^2+1 X^2+X 0 X 1 X^3+X+1 X X^3+X X^2 1 0 X^3 X^2+X+1 X+1 X^3+X^2+X+1 X^2+1 X^3+X^2 X^3+1 X^2+1 X^3+X^2+1 X^3+X^2+1 X^2+X X^3+1 1 X^3+X+1 X^3+X^2 X^3+X+1 X^2+X+1 X^2 X^3+X^2+X X^3+X 1 1 X^3+X^2+X X^3+X X^3+1 X^3+X^2+1 X^2 X^2+X X^3+1 X^2+1 X^3+1 X^3+X^2+X 0 1 1 X^3+X X^2 X^3 X^2+X X^3+X^2 X^3+X^2+X X^3+X^2+1 X^3+X X^3+1 1 X^3+X+1 1 X X^3+X X X^3+X^2+1 X^3+X^2+X+1 X^3+X^2+X X^3+1 X^2+1 X^3+X generates a code of length 80 over Z2[X]/(X^4) who´s minimum homogenous weight is 73. Homogenous weight enumerator: w(x)=1x^0+474x^73+1454x^74+3124x^75+4503x^76+5640x^77+6416x^78+7328x^79+8024x^80+8052x^81+6338x^82+5288x^83+3577x^84+2462x^85+1516x^86+714x^87+365x^88+134x^89+52x^90+48x^91+8x^92+6x^93+10x^95+2x^96 The gray image is a linear code over GF(2) with n=640, k=16 and d=292. This code was found by Heurico 1.16 in 46.5 seconds.