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 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X 1 1 X 0 X 0 X^3+X^2+X X^3 X^2+X X^3 X^3+X 0 X^2+X X^3 X^3+X X^3 X^3+X^2+X 0 X 0 X^3+X^2+X X^3 X^3+X 0 X^2+X X^3 X 0 X^3+X^2+X 0 X^3+X^2+X 0 X X^3 X^3+X X^2 X^3+X^2+X X^3+X^2 X^3+X X^2 X^3+X^2+X X^3+X X^2 X^2 X^2+X X^3+X X^3+X^2 X^3+X X^2 X^2 X^3+X^2+X X^2+X X^3+X^2 X^3+X^2 X^3+X^2+X X^3+X X^3+X^2 X^3+X X^3+X^2 X X^2 X^3+X^2+X X^2 X^3+X^2+X X X^2 X^2 X^2+X 0 0 X^3 X^2+X X^2 X^3+X^2 X^2+X X^3+X^2+X X^3+X^2 0 X^2+X X^3+X^2+X X^2+X X^3 X^3 X^2 X X^3+X X X X X^3 X^2+X 0 X^3+X X^2+X X X X X^2+X X^2+X X^2+X X^2+X 0 0 X^3+X^2 0 0 X^3+X^2 X^2 X^2 0 0 0 0 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^3 X^3 X^3+X^2 X^2 X^2 X^3+X^2 X^3+X^2 X^2 X^3 X^3 X^2 X^3+X^2 X^3 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 X^3 X^3 X^3 X^2 X^2 X^2 X^3+X^2 X^3 X^3 0 0 X^3 0 X^3 X^3+X^2 0 X^2 X^2 X^3+X^2 X^3+X^2 0 X^3+X^2 X^2 0 0 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3 0 0 0 X^2 X^2 X^2 0 X^2 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^3+X^2 X^3 X^2 X^3 X^3+X^2 X^3 X^2 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^2 0 X^2 X^2 0 0 0 X^3+X^2 X^2 X^3+X^2 X^2 0 X^3 X^2 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^3 X^3 X^3+X^2 X^3+X^2 X^3 X^3+X^2 X^2 0 0 X^2 X^3+X^2 X^2 X^2 X^3 X^3 0 0 0 0 X^3+X^2 X^2 X^3+X^2 0 X^2 X^3 X^3 X^3 X^3+X^2 X^2 X^3+X^2 X^2 X^3 0 X^3 0 X^3+X^2 X^3 X^3+X^2 X^2 X^2 0 X^3+X^2 X^2 0 X^3+X^2 X^3 X^2 X^3 0 X^2 X^2 X^3+X^2 X^2 X^3+X^2 0 X^3 X^3+X^2 X^2 0 X^3+X^2 0 X^3 0 0 X^3 X^2 0 X^3 0 X^2 X^2 X^2 X^2 0 X^3+X^2 0 X^3 X^3 X^2 X^2 X^3 0 X^3+X^2 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+122x^94+78x^95+192x^96+252x^97+784x^98+236x^99+191x^100+64x^101+107x^102+6x^103+7x^104+4x^105+2x^106+1x^108+1x^190 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 1.58 seconds.