The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 X^2 1 1 1 X 1 X^2+X 1 1 1 1 1 0 1 1 1 X^2+X X 1 1 1 1 1 X 1 X 1 0 1 0 X 1 1 1 1 1 1 X 1 X^2 X^2 X 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 1 1 1 X^2 X+1 1 X^2+X+1 1 0 X^2+X X^2+1 1 X^2+X 1 X^2 X X^2+1 1 1 0 1 1 X X^2+X+1 1 X+1 1 X^2 1 0 1 X X X+1 X^2+X+1 X X^2+X+1 1 1 X^2 X X 0 0 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X 0 X X^2+X X^2 X X 0 X^2 0 X^2 0 X^2 0 X X 0 0 X X^2 X^2+X X^2+X X^2+X X X X 0 X 0 0 X^2 X^2+X X^2 X^2+X X^2+X X X^2 0 X X^2+X X^2+X X^2+X X^2+X 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 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 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 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 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 generates a code of length 57 over Z2[X]/(X^3) who´s minimum homogenous weight is 48. Homogenous weight enumerator: w(x)=1x^0+48x^48+100x^49+145x^50+360x^51+316x^52+622x^53+495x^54+912x^55+578x^56+1144x^57+562x^58+952x^59+449x^60+604x^61+258x^62+296x^63+111x^64+84x^65+57x^66+32x^67+26x^68+6x^69+15x^70+8x^71+6x^72+4x^74+1x^76 The gray image is a linear code over GF(2) with n=228, k=13 and d=96. This code was found by Heurico 1.16 in 3.35 seconds.