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 0 1 1 1 1 1 1 X 1 1 1 1 1 1 1 X^2 1 1 1 1 1 1 0 1 0 1 X X 1 1 1 X^2 1 X 1 X 1 X 0 X 0 0 0 X^2 0 X^2 0 X X X^2+X X X^2+X X^2+X X X^2 X X^2+X X 0 X^2 0 X X^2 X 0 X^2+X X^2 X^2+X X^2+X X^2 X 0 X^2 X X^2 0 0 X^2+X X X 0 0 X^2+X X^2 X^2+X X^2+X 0 0 X^2 0 X^2+X X^2+X X X X^2 0 X X X^2+X X X X^2+X X^2 0 X^2+X X^2 X X^2 X X^2 X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X 0 X X 0 X^2 X^2+X 0 X X X^2+X 0 X^2+X X^2 X^2 X^2+X X^2+X X^2 0 X^2+X X^2 0 0 X 0 0 X^2 X X X X^2+X X X^2 X X^2+X 0 0 0 X^2 X X^2+X 0 X X^2+X X^2 X^2+X X X^2 X X^2 0 X^2 X^2+X 0 X^2 X^2+X 0 0 X X^2 X^2+X X X^2+X X^2 X^2+X X X 0 0 X^2+X X^2 X^2+X X^2 0 0 X^2+X X^2+X X 0 X^2+X X^2 X X^2 X 0 0 X X 0 X^2+X X^2 X X^2+X X^2 X 0 X X 0 X X 0 X^2 X X X^2+X X X^2+X X^2 0 X X^2 X^2+X X X^2 0 X X^2 X^2 X 0 0 0 X 0 X X X^2+X X^2 0 X X 0 X^2+X X X^2 X^2+X X X^2 X^2+X 0 X^2 X X^2 X X^2 X X^2+X 0 0 X^2+X 0 X X 0 X X^2+X X^2+X 0 X^2+X X^2 X^2 X^2 X^2 X X 0 X^2 X^2 X^2 X X X^2+X X^2 X X^2 X^2+X X^2 X^2+X X X^2 X X^2+X 0 X X X^2 0 X X^2+X X X^2 X^2 X^2+X X^2 0 0 X X^2+X X X^2+X X^2+X X^2 0 X^2 X^2 X^2+X X^2 X^2+X X^2+X X X^2+X 0 0 0 0 X X^2 X^2 0 0 0 0 X X X^2 X X^2+X X X 0 0 X^2 X X 0 X^2+X X^2+X X X^2 X^2 0 X X^2+X 0 X^2+X X^2 X^2+X 0 X^2 X^2+X X X^2 0 0 X X X^2+X X^2+X X^2+X X^2 0 X^2+X X^2 0 X 0 X X 0 X X^2+X X^2 X X X^2+X 0 X^2 0 0 X^2+X X^2+X X^2+X X^2 X X^2 X X^2+X X^2 0 X^2 0 0 X X^2 X^2 X^2+X X X^2+X 0 0 0 0 0 X^2 0 X^2+X X^2 X^2 X^2+X X^2 X^2+X X^2+X 0 0 X^2 X^2+X X^2 generates a code of length 99 over Z2[X]/(X^3) who´s minimum homogenous weight is 92. Homogenous weight enumerator: w(x)=1x^0+254x^92+36x^94+433x^96+280x^98+522x^100+164x^102+208x^104+114x^108+29x^112+6x^116+1x^176 The gray image is a linear code over GF(2) with n=396, k=11 and d=184. This code was found by Heurico 1.16 in 4.8 seconds.