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 X 1 X X 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 X X X X X X X X X X X X X X X X X X X X X X X X X X X^2 1 1 1 0 X^3+X^2 0 X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3+X^2 0 0 X^2 X^3 X^3+X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^3+X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^3+X^2 X^3+X^2 X^2 0 0 X^3 X^3 0 X^3 X^3 0 0 0 X^3+X^2 X^2 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^3+X^2 X^2 X^3 X^2 X^2 X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^2 X^3 X^3 X^2 X^3+X^2 X^3 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 0 X^3+X^2 X^2 0 X^2 0 X^3+X^2 0 X^2 0 X^3+X^2 X^3 X^3+X^2 X^2 X^2 0 X^3+X^2 X^3 0 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^3 X^3 0 0 X^3 0 0 X^2 X^2 X^3+X^2 0 0 0 X^3 0 0 X^3 0 X^3 X^3 0 X^3 X^3 X^3 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 0 0 0 X^3 X^3 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 0 0 0 0 0 0 0 0 X^3 X^3 0 0 X^3 X^3 0 0 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 X^3 0 0 0 0 0 X^3 X^3 X^3 X^3 X^3 X^3 0 X^3 0 0 X^3 0 0 0 0 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 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 X^3 X^3 X^3 X^3 X^3 X^3 X^3 0 0 0 0 0 0 0 0 X^3 X^3 X^3 X^3 0 X^3 0 X^3 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 0 X^3 X^3 0 0 X^3 0 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+24x^94+174x^95+39x^96+536x^98+112x^99+24x^100+15x^102+96x^103+2x^127+1x^134 The gray image is a linear code over GF(2) with n=784, k=10 and d=376. This code was found by Heurico 1.16 in 1.22 seconds.