The generator matrix 1 0 0 1 1 1 X 1 1 X^2+X 1 1 X X^2+X X 0 1 1 1 1 X^2+X X^2+X 1 1 1 1 0 0 1 X 1 1 X^2 X 1 X^2+X 1 1 X^2+X X 0 1 1 1 1 X^2+X X^2 0 X X^2 1 X^2 X^2+X 1 0 1 1 1 X X^2 X^2 1 X^2 1 1 1 0 1 0 X 1 X^2+X+1 1 X^2+X 0 X^2 1 X+1 X^2+X 1 1 1 X^2+X X^2+X+1 0 X^2+1 1 1 X^2+1 X 0 X+1 1 0 X^2+X 1 X^2+X X^2+1 1 1 X^2+X+1 0 X^2+X+1 X^2 X^2+X 1 1 X^2+1 X^2+1 0 X^2 1 X X 1 1 X^2+X+1 1 1 X 0 X^2 X^2+X 1 X^2 X^2+X 1 X^2+X+1 1 X^2 X^2 0 0 0 1 1 X^2+X+1 X^2+X 1 X+1 X^2+X 1 1 0 1 X+1 X X+1 X^2 1 X^2+X+1 X^2+X 0 X 0 X X^2+1 X^2+X+1 X+1 1 X^2+X+1 X^2+1 0 X^2 X X^2+X+1 X^2+1 1 X X^2 1 X 1 X^2 X^2+X+1 X X+1 X^2+1 1 1 X^2 X X^2 1 X^2+X+1 X^2 1 X+1 X^2 X 1 1 X^2+X X X^2+1 1 X 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 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 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 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 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 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 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 0 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 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+58x^58+230x^59+304x^60+590x^61+554x^62+754x^63+596x^64+788x^65+698x^66+774x^67+553x^68+724x^69+377x^70+446x^71+298x^72+184x^73+90x^74+92x^75+30x^76+14x^77+12x^78+8x^79+9x^80+4x^81+2x^82+1x^84+1x^86 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 3.59 seconds.