The generator matrix 1 0 1 1 1 0 1 1 X^2+X 1 1 X 0 1 1 1 1 X^2+X 1 1 1 X^2 1 0 1 X 1 1 0 X^2+X 1 1 X 1 1 1 1 1 1 1 0 1 X X X 0 X^2 1 1 0 0 X^2 1 0 1 1 0 X+1 1 X X^2+X+1 1 X^2+X X^2+1 1 1 0 X+1 X^2+X+1 X^2+X 1 X^2 1 X^2+1 1 X^2+1 1 X 1 X+1 0 1 1 X^2+X X^2 1 1 X X^2+X+1 X^2+X X X^2+1 X+1 1 0 X 1 X^2 1 1 1 X^2+X X^2 X 1 X 0 0 X X^2+X 0 X^2+X X X^2+X 0 0 0 X X^2 X^2 0 X^2+X X^2 X^2 X X 0 X^2+X X^2 X^2 X X X^2 0 0 X^2 X^2 X X X^2+X X X^2+X X^2 X^2+X X^2+X 0 X^2 X^2 X X X^2+X X X^2+X X^2+X X X X^2+X X^2+X X 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 43. Homogenous weight enumerator: w(x)=1x^0+4x^43+244x^44+76x^45+434x^46+292x^47+977x^48+732x^49+1348x^50+1232x^51+2158x^52+1472x^53+2008x^54+1264x^55+1626x^56+704x^57+700x^58+268x^59+521x^60+84x^61+118x^62+12x^63+80x^64+4x^65+20x^68+4x^72+1x^76 The gray image is a linear code over GF(2) with n=212, k=14 and d=86. This code was found by Heurico 1.16 in 86.1 seconds.