The generator matrix 1 0 0 0 1 1 1 0 1 1 1 1 X^2 X^2+X X X 1 X X^2+X 1 1 X^2 0 X 1 1 1 1 X^2 X X^2 1 1 X^2+X 1 X^2 1 1 1 X^2+X 1 1 X^2+X X X X 1 1 1 X^2+X X^2+X 1 1 0 X^2 1 1 1 X^2 1 X 1 1 0 1 1 1 1 0 1 X^2 X^2 1 1 1 X X X^2+X X 1 0 1 X^2 X^2 1 X^2+X X^2+X X^2+X 1 0 X 1 0 1 0 0 1 X^2 1 1 X^2+1 0 X^2+X+1 X 1 X^2+X 1 1 X^2+1 0 1 X^2+X 0 1 1 X^2+X X^2 X^2+X+1 X+1 X^2+X 1 1 X X^2+1 0 1 X^2+1 1 X^2+X 1 X+1 1 X^2+X X^2 1 1 0 X X^2+X+1 X^2+X+1 1 X^2 X^2+X X^2 X^2+X+1 X 1 X^2+X X 0 1 X^2+1 X^2 X^2+X X 1 X^2+X X^2+X X^2+X X+1 0 X+1 X^2 X^2+X 1 X^2+1 0 1 1 0 1 X^2+X+1 1 X X 0 X+1 X 1 1 X X X^2 0 0 0 1 0 X 0 X^2+X X 1 1 X+1 X^2+X+1 X+1 1 X^2+1 X^2+X X^2+X 1 X^2+X+1 X X^2+X+1 X^2+1 0 X X X^2+1 X^2+X 1 X X^2+X+1 1 X+1 X+1 X+1 X^2+X X^2 X^2 X^2+1 X^2+X X^2 0 X+1 1 0 X^2 1 X^2 X^2+1 X^2+1 1 0 0 X+1 1 0 X^2 X+1 1 X+1 X^2 1 X X^2+1 X X^2+X 0 X^2+X+1 X^2+1 1 X^2 1 1 X^2+X+1 X+1 X X^2+X+1 X^2+1 0 0 X+1 1 X 1 1 X^2+1 X X^2+X X X^2 X^2 1 0 0 0 0 1 X 1 X+1 X+1 X+1 X 0 1 X^2+1 X^2+X+1 X^2+X X X^2 0 X^2+X+1 X^2 X^2+1 X^2 X+1 1 X^2+X+1 X^2 X+1 0 0 X^2+1 X^2+1 X^2+1 X^2+X X^2 1 X^2+1 X^2+X+1 X^2 X^2+X X^2+X X X^2+X+1 X+1 1 1 0 X^2+X 0 X^2+X+1 0 1 X^2 0 X^2+X X X^2+1 X^2 X^2+1 X+1 X X^2+X+1 X^2+X X^2+X 0 X^2+1 X^2+X X+1 X 0 1 X+1 0 X^2+X X^2 X+1 1 X^2+X 1 X^2 X^2+X+1 X^2+X+1 0 X 1 1 1 X+1 X^2+1 X 1 X+1 1 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 generates a code of length 92 over Z2[X]/(X^3) who´s minimum homogenous weight is 84. Homogenous weight enumerator: w(x)=1x^0+131x^84+320x^85+457x^86+638x^87+644x^88+648x^89+648x^90+586x^91+652x^92+614x^93+515x^94+434x^95+416x^96+352x^97+264x^98+264x^99+198x^100+134x^101+110x^102+84x^103+35x^104+12x^105+20x^106+10x^107+3x^108+1x^110+1x^118 The gray image is a linear code over GF(2) with n=368, k=13 and d=168. This code was found by Heurico 1.11 in 1.78 seconds.