The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 X^2+X 1 1 1 1 0 1 1 0 X^2+X X 1 1 1 1 0 X^2 1 1 1 1 1 1 X^2 1 0 1 X^2 X^2 1 1 X^2+X 1 X^2+X 1 1 1 1 1 X^2 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 1 X^2+X X^2+1 X^2+1 X^2+X 1 X+1 0 1 1 1 X+1 0 X^2+X X^2+1 1 1 0 X+1 0 X^2 0 X^2+X+1 1 X^2+1 1 X+1 1 1 X+1 X^2 1 X^2+X 1 X^2+X+1 X^2+1 X^2+X X^2+1 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 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 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 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 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 generates a code of length 56 over Z2[X]/(X^3) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+77x^48+56x^49+164x^50+164x^51+259x^52+340x^53+360x^54+500x^55+353x^56+436x^57+364x^58+300x^59+265x^60+188x^61+110x^62+60x^63+52x^64+4x^65+18x^66+11x^68+2x^70+5x^72+6x^74+1x^76 The gray image is a linear code over GF(2) with n=224, k=12 and d=96. This code was found by Heurico 1.16 in 0.801 seconds.