The generator matrix 1 0 1 1 1 X^2+X 1 1 X^3+X 1 1 X^3+X^2 1 1 X^3+X^2 1 1 X^3+X 1 1 X^2+X 1 1 0 1 1 X^3 1 1 X^3+X^2+X 1 1 X 1 1 X^2 1 1 X^2 1 1 X 1 1 1 1 X^3 X^3+X^2+X X X 0 1 1 0 1 1 X^3+X^2 X X X^2+X 1 1 1 1 X^3 X^3+X^2+X 1 1 1 1 1 1 1 1 X^3 X X^2 X X X X^3 X^2 X X X 0 X^3+X X^3+X^2 X X X X X^3 X^2 X^3+X^2 1 1 1 1 0 1 X+1 X^2+X X^2+1 1 X^3+X^2 X^3+X^2+X+1 1 X^3+X X^3+1 1 0 X+1 1 X^2+X X^2+1 1 X^3+X^2 X^3+X^2+X+1 1 X^3+X X^3+1 1 X^3 X^3+X+1 1 X^3+X^2+X X^3+X^2+1 1 X^2 X^2+X+1 1 X 1 1 X^3 X^3+X+1 1 X^3+X^2+X X^3+X^2+1 1 X^2 X X^2+X+1 1 1 1 0 X^2+X X 0 X+1 1 X^3+X^2 X^3+X^2+X+1 X X^3+X^2 X^3+X 1 X^2+X X^3+X^2+X X^2+1 X^3+X^2+1 1 1 X^3 X^3+X^2 X^3+X+1 X^3+X^2+X+1 X^3+X X^3+X X^3+1 X^3+1 X 0 X X^2+X X^3+X^2 X^3+X X X X^3 X^2 X^2 X 1 1 1 X^3+X^2+X X X^3+X^2+X 1 1 1 X^2+X X X+1 X^2+X+1 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 X^3 0 0 0 0 0 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 0 0 X^3 0 X^3 0 0 0 0 0 0 X^3 X^3 0 X^3 0 0 0 X^3 0 0 0 X^3 X^3 X^3 0 X^3 0 X^3 0 generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 98. Homogenous weight enumerator: w(x)=1x^0+306x^98+136x^100+52x^102+9x^104+2x^106+6x^108 The gray image is a linear code over GF(2) with n=792, k=9 and d=392. This code was found by Heurico 1.16 in 4.92 seconds.