The generator matrix 1 0 0 1 1 1 X X^2 1 X^2+X 1 1 1 X^2 1 1 0 1 X^2+X X 1 1 0 0 1 1 X^2+X 1 1 X^2+X 1 X^2+X X^2 1 1 1 X^2+X 1 X 1 1 1 0 X 1 1 X 0 X^2+X 1 1 1 0 1 X^2 0 1 1 X^2+X 0 X^2 1 1 X^2+X 1 1 1 X^2 1 1 1 1 1 X^2 X^2+X X 0 X^2+X X 1 X X^2+X X X^2 1 X 1 X^2+X X X^2 0 0 1 1 0 0 1 0 0 X^2+1 X+1 1 X^2 X^2+X+1 1 X^2 X+1 X^2 1 X^2+X+1 0 1 1 0 1 0 X+1 1 1 1 X^2 X^2 X X^2+X X X 1 1 X^2+X+1 X^2 X^2+X 1 X+1 1 X^2+1 X X+1 0 1 X^2+X+1 X 1 1 X^2 X^2 X^2+X 1 0 X^2+1 X^2+X 1 0 1 X^2+X X 1 0 1 1 X^2+X+1 X^2+X 0 X X^2 X^2+1 1 X^2+X 1 X 1 1 1 X^2+X X^2+X X^2+1 1 1 X^2 X X^2 X X^2+1 1 0 1 1 1 X^2+1 X 1 0 0 1 1 X^2+1 X^2 X^2+1 1 X^2+X+1 0 X+1 X^2 0 1 X^2+X+1 X+1 0 X^2 1 1 X^2 0 X^2 1 X^2+1 1 1 0 X^2+1 1 X^2+X X+1 X^2+X 1 X^2+X X^2+1 X+1 X X^2 X+1 X^2+X X 1 X^2 X^2+1 0 X^2+X X^2+X 1 X X^2+X+1 0 1 X+1 1 X^2+X+1 X X 1 1 X^2+X+1 X^2 X^2+X X^2+X+1 X X^2+X+1 X^2+X+1 1 X^2+1 X^2+X+1 0 X^2+X 0 1 X^2+1 X X+1 1 1 X^2+X X X+1 1 1 X^2+X+1 1 X+1 0 1 X^2 X^2+1 X^2+1 1 X X^2+1 0 0 0 X X 0 X X 0 X 0 X^2+X X^2+X X^2 X^2+X X^2+X X 0 0 X^2 X^2 X X^2 X^2+X X^2 X^2 X^2+X X^2+X 0 0 X X^2 X X^2+X X X^2+X X^2+X X^2 X^2+X X^2 X^2 X X^2+X 0 X^2 X^2 X 0 X X^2+X 0 X^2+X X^2 X^2+X X^2+X X X^2 0 X 0 0 X X X 0 X^2+X X X X^2+X X X 0 X^2 X^2 X^2+X X^2+X X^2 X^2 X X^2 X^2 0 X^2 X^2+X X^2 X^2 X X^2 X^2 X X^2+X X^2 X^2+X X^2+X X generates a code of length 95 over Z2[X]/(X^3) who´s minimum homogenous weight is 90. Homogenous weight enumerator: w(x)=1x^0+320x^90+513x^92+348x^94+331x^96+212x^98+105x^100+88x^102+44x^104+44x^106+26x^108+12x^110+3x^112+1x^120 The gray image is a linear code over GF(2) with n=380, k=11 and d=180. This code was found by Heurico 1.16 in 0.838 seconds.