The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 1 1 0 X^2+X 1 1 X^2+X 1 1 1 1 1 0 X 1 0 1 1 X^2 1 0 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X^2+1 1 X^2+X X+1 1 X+1 0 1 X^2+1 X^2+X 1 0 X+1 X^2+1 1 X^2+X X+1 1 X^2+1 X+1 0 X^2+1 1 1 X^2 X^2+X 1 X^2+X X^2+1 0 0 X^2+X+1 1 1 X^2+1 1 0 X^2 0 X 1 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 generates a code of length 56 over Z2[X]/(X^3) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+20x^46+38x^47+100x^48+150x^49+296x^50+336x^51+484x^52+700x^53+706x^54+808x^55+912x^56+872x^57+758x^58+684x^59+452x^60+292x^61+224x^62+178x^63+67x^64+34x^65+28x^66+4x^67+20x^68+10x^70+8x^72+6x^74+4x^76 The gray image is a linear code over GF(2) with n=224, k=13 and d=92. This code was found by Heurico 1.16 in 3.27 seconds.