The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 X 1 1 1 0 1 1 0 1 X 1 1 X 1 1 X^2 1 X 1 1 1 0 0 X^2 1 1 X^2+X 1 1 1 1 1 X 0 X^2 X^2+X 1 1 1 1 1 1 X X 1 1 1 1 1 1 1 1 1 1 X X 0 1 1 0 X^2+X+1 1 X X+1 1 1 1 0 X^2+X X+1 1 X^2+1 X 1 X+1 1 X 1 1 X^2+X 0 1 X^2+1 1 X^2+X+1 0 1 1 1 1 X^2 X^2+X 1 X^2+X+1 X^2 0 X^2+X+1 X^2+1 1 1 1 1 X^2 X^2+X+1 X X^2+1 X 1 1 1 X^2 X^2+X+1 X^2+X X X+1 X^2+X X^2+X+1 X^2+X X^2+X X^2+X+1 0 1 0 0 X 0 X^2+X 0 0 0 X^2 X^2 X^2 X X X X^2+X X X X 0 X^2+X X^2 0 X^2+X X^2 X^2+X 0 X X^2 X^2+X 0 X^2+X X 0 0 X X^2+X X^2+X 0 X^2 X^2 0 X^2+X X^2+X X^2 X^2 X X X^2+X 0 X^2+X X^2+X 0 X^2+X X^2 X X X^2 0 X^2+X 0 X^2+X X^2+X X^2+X X^2 X^2+X X^2 0 0 0 X 0 0 X X^2 X^2+X X X X 0 X^2+X X^2+X X X^2+X X^2 X X^2+X 0 0 X^2 X^2 0 X^2 X^2+X X^2+X X^2 0 X^2 X^2+X 0 X 0 X X^2+X X^2+X X^2+X X^2 X^2 X^2 X X^2 X X^2 X^2 X X^2+X 0 X^2+X X^2 0 X^2 X X^2+X 0 X X X X X^2+X X^2+X X X X 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 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 generates a code of length 66 over Z2[X]/(X^3) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+208x^58+84x^59+448x^60+280x^61+759x^62+504x^63+797x^64+656x^65+814x^66+696x^67+827x^68+504x^69+656x^70+248x^71+326x^72+96x^73+146x^74+4x^75+66x^76+33x^78+26x^80+8x^82+3x^84+2x^88 The gray image is a linear code over GF(2) with n=264, k=13 and d=116. This code was found by Heurico 1.16 in 68.9 seconds.