The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X 1 X^2 1 1 1 1 0 1 1 X^2+X 1 X 1 1 1 1 1 X^2+X 0 X^2 1 1 1 X^2 1 0 1 1 0 X^2+X 1 0 1 1 1 1 1 1 0 1 1 X X 0 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X 1 X^2+1 1 0 X^2+X+1 X^2 X^2+X+1 1 X 1 1 X^2+X 1 X^2+1 X+1 0 X^2+X+1 X^2+X 1 1 1 X^2+1 X^2+X+1 X 1 1 1 X X^2+X+1 1 1 X^2+X+1 1 0 1 X^2 X^2 X^2+X X^2 X X^2+X 0 1 X^2+X 1 X^2 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X X^2 X X^2 X X X^2 X^2 X X 0 0 X^2+X 0 X^2 0 X 0 0 X^2 X^2+X 0 X^2+X X X^2+X X^2 X X^2+X X 0 X^2 X 0 X^2 X^2+X X 0 X^2 0 X X^2+X 0 X^2 X X^2+X X^2+X 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 0 0 0 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 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 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+105x^46+375x^48+96x^49+725x^50+328x^51+1554x^52+632x^53+2120x^54+968x^55+2600x^56+1016x^57+2144x^58+664x^59+1483x^60+296x^61+673x^62+88x^63+342x^64+8x^65+101x^66+32x^68+14x^70+10x^72+6x^74+3x^76 The gray image is a linear code over GF(2) with n=224, k=14 and d=92. This code was found by Heurico 1.16 in 43.9 seconds.