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 X^3 1 X^3 1 1 1 1 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 X^3 X^2+X X X^3 0 X^3+X^2+X X^3 X^3+X^2+X X^3 X 0 X^3+X X^3+X^2 X^3+X^2+X X^2 X^3+X X^2 X^2+X X^3+X^2 X^3+X X^2+X X^3+X^2 X^3+X^2 X X^3+X^2 X^2+X X X^3+X^2 X^3+X^2 X X^2+X X^2 X^3+X^2 X^3+X X^2 X^3+X^2+X X^2 X^3+X^2+X X^3+X^2 X^3+X X^3+X^2 X^2 X^3+X^2+X X X^3 X^2+X X X^2+X X^3+X X^3 X^3+X^2+X X X^3 0 X^3+X 0 X^3 0 X^2 X^3+X^2 X^2 X X X^3+X^2+X X^3+X^2+X X^2 X^2 X^3+X^2 X^2+X X X^3+X^2+X X^3+X^2 X^3 X^3+X 0 X^2 0 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^3+X^2 X^2 X^3+X^2 X^2 X^2 X^3 X^3 X^3+X^2 X^3 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 0 0 X^3 X^2 X^2 X^2 X^3+X^2 0 X^3 0 X^3 0 0 X^3 X^3+X^2 X^3 X^2 X^2 X^3+X^2 X^3+X^2 0 X^3+X^2 X^2 X^3 X^3 X^3+X^2 X^3 X^3+X^2 X^3+X^2 X^3 X^3 X^3+X^2 X^3 X^2 0 X^3 X^2 X^2 X^3+X^2 0 X^2 0 X^3+X^2 X^3 X^3 X^3+X^2 X^3 X^2 X^3 0 X^3+X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^3+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^2 X^2 0 0 X^3+X^2 X^3+X^2 X^3 X^2 0 X^3 X^2 0 X^2 0 X^3 X^2 X^3+X^2 X^3 0 X^3+X^2 X^3 X^3+X^2 X^3 X^3+X^2 X^2 X^3 X^2 X^3 X^3 X^3+X^2 0 X^2 X^3+X^2 X^2 0 X^3 0 0 X^3+X^2 X^3+X^2 X^2 0 0 X^2 0 X^2 X^3 X^2 X^3 X^3 X^2 X^3 X^2 X^3+X^2 X^3 X^2 0 X^3 X^2 0 X^3+X^2 X^3+X^2 X^2 0 X^3 X^3 X^3 X^2 X^3+X^2 X^3+X^2 X^3 0 X^3 X^3+X^2 X^3 X^2 X^2 X^3 X^3+X^2 generates a code of length 99 over Z2[X]/(X^4) who´s minimum homogenous weight is 95. Homogenous weight enumerator: w(x)=1x^0+92x^95+75x^96+544x^97+83x^98+564x^99+32x^100+480x^101+32x^102+100x^103+20x^104+12x^106+12x^107+1x^194 The gray image is a linear code over GF(2) with n=792, k=11 and d=380. This code was found by Heurico 1.16 in 29 seconds.