The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 1 X^2 1 1 1 X 1 X 1 1 1 X^2+X 1 X^2 1 1 0 1 1 X^2+X X^2 1 1 0 1 X^2+X 1 1 0 1 X 1 X 1 X 1 1 1 0 1 1 X^2 1 1 1 0 X X X X^2+X 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^2+X+1 1 1 X^2+X 1 X+1 X X+1 1 0 1 1 X 1 X^2+X+1 X^2 1 1 X^2+X 1 1 0 1 X^2+X X+1 1 X^2 1 X+1 1 X+1 1 X^2+X+1 X X^2+X X X^2+X+1 X^2+1 1 X+1 X X 1 X^2 X 0 1 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X X 0 X^2+X X^2+X X^2 X 0 X^2 X^2 X 0 X^2 0 X X^2+X X^2 0 X X X^2 X 0 X^2+X X^2 X^2+X X 0 X^2 X^2 0 X^2+X X^2+X 0 0 X^2+X X^2+X X X^2 X^2+X 0 X^2 X^2+X 0 0 0 X^2 X^2+X 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 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 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 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 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 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 generates a code of length 64 over Z2[X]/(X^3) who´s minimum homogenous weight is 55. Homogenous weight enumerator: w(x)=1x^0+52x^55+175x^56+156x^57+367x^58+308x^59+682x^60+448x^61+870x^62+558x^63+979x^64+628x^65+946x^66+468x^67+586x^68+236x^69+299x^70+124x^71+115x^72+64x^73+59x^74+24x^75+18x^76+4x^77+12x^78+2x^79+2x^80+4x^82+2x^84+3x^86 The gray image is a linear code over GF(2) with n=256, k=13 and d=110. This code was found by Heurico 1.16 in 61.4 seconds.