The generator matrix 1 0 1 1 1 0 1 1 X 1 X^2+X 1 1 1 0 1 1 X^2 X 1 1 X^2+X 1 1 1 1 1 1 X 1 0 1 1 X^2+X X^2+X 1 1 X^2 X 1 1 1 X^2 1 0 1 1 1 1 X X X^2+X 1 X^2 1 0 1 0 1 1 0 X+1 1 X X^2+X+1 1 X^2+X 1 X^2+1 0 X+1 1 X^2 X^2+X+1 1 1 X^2+X 1 1 X X^2+1 X^2+1 X^2+X+1 1 1 1 X^2 1 0 X 1 1 X^2+1 X+1 1 1 X^2+X X^2+X+1 0 X X+1 1 X^2 X^2+1 X^2 X^2+X 1 1 1 0 X X^2+X+1 1 0 0 0 X X^2+X 0 X^2+X X X^2+X X 0 X^2 0 X^2 0 0 X X^2+X X^2+X X X^2 X X^2 X^2+X 0 0 X X^2+X X X^2+X X X^2 X^2+X X X^2 X^2 X X^2 X^2+X X^2+X 0 0 0 X X^2 0 X^2 X X^2+X X^2 X X^2 0 X^2+X X 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 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 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 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 0 0 0 0 0 0 0 X^2 0 0 0 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 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 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 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 generates a code of length 57 over Z2[X]/(X^3) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+29x^46+32x^47+181x^48+222x^49+277x^50+528x^51+697x^52+942x^53+1202x^54+1518x^55+1792x^56+1752x^57+1603x^58+1460x^59+1297x^60+984x^61+606x^62+496x^63+313x^64+186x^65+99x^66+60x^67+51x^68+10x^69+18x^70+2x^71+16x^72+5x^74+3x^76+1x^78+1x^80 The gray image is a linear code over GF(2) with n=228, k=14 and d=92. This code was found by Heurico 1.16 in 12.3 seconds.