The generator matrix 1 0 1 1 1 X^2+X 1 1 X^3+X^2 1 1 X^3+X 1 1 0 1 1 X^2+X 1 1 X^3+X^2 1 1 X^3+X 1 1 0 1 1 X^2+X 1 X^3+X^2 1 1 1 X^3+X 1 X^3 1 1 X^2 1 1 X^2+X 1 1 1 X^3+X 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 0 X^3+X^2+X X X^3+X^2 0 X^2+X X^3+X^2 X^3+X 0 X^3 X^2+X X^3+X^2+X 0 X^3 X^2 X X X^3 0 1 X+1 X^2+X X^2+1 1 X^3+X^2+X+1 X^3+X^2 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 0 X+1 1 X^2+X X^2+1 1 X^3+X^2 1 X^3+X^2+X+1 X^3+X X^3+1 1 X^3 1 X+1 X^2+X 1 X^3+X^2+X+1 X^2+1 1 X^2 X^3+X X^3+1 1 X^3+X^2+X 0 X X^3+X^2 0 X^2+X X^3+X^2 X^3+X X^3+X+1 X^3+X^2+1 X^2+X+1 1 X+1 X^2+1 X+1 X^2+1 X^3+X^2+X+1 X^3+1 X^3+X^2+X+1 X^3+1 X^3+X+1 X^3+X^2+1 X^2+X+1 1 0 X^2+X X^3+X^2 X^3+X X^3 X^3+X^2+X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 1 0 0 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 X^3 X^3 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 0 0 0 X^3 X^3 X^3 0 0 X^3 0 X^3 X^3 X^3 X^3 0 0 X^3 0 0 X^3 X^3 X^3 0 0 0 0 X^3 X^3 0 0 0 0 X^3 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 X^3 X^3 X^3 0 0 X^3 X^3 0 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 X^3 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 0 0 0 X^3 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 0 0 X^3 X^3 0 0 0 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 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 0 0 X^3 X^3 X^3 X^3 0 0 0 X^3 X^3 0 0 X^3 0 X^3 X^3 0 X^3 0 0 X^3 0 X^3 X^3 0 0 0 X^3 X^3 0 X^3 0 X^3 0 0 0 0 X^3 0 X^3 X^3 X^3 X^3 0 X^3 X^3 0 X^3 0 X^3 0 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 0 0 0 0 0 0 0 0 0 0 0 0 X^3 0 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 0 X^3 0 X^3 0 X^3 0 X^3 X^3 X^3 0 X^3 0 X^3 0 0 0 0 0 X^3 X^3 X^3 0 X^3 X^3 0 X^3 X^3 0 X^3 X^3 X^3 0 X^3 generates a code of length 98 over Z2[X]/(X^4) who´s minimum homogenous weight is 94. Homogenous weight enumerator: w(x)=1x^0+286x^94+100x^95+72x^96+200x^97+834x^98+112x^99+44x^100+56x^101+286x^102+44x^103+10x^104+1x^128+2x^130 The gray image is a linear code over GF(2) with n=784, k=11 and d=376. This code was found by Heurico 1.16 in 0.828 seconds.