The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 X^2+X 1 1 0 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 1 1 1 1 1 X^2+X 0 1 X^2 1 1 X^2 1 1 1 1 1 X^2 1 1 1 0 1 X^2 1 1 X^2+X 1 1 1 1 0 X^2+X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2+1 1 0 X^2+X X+1 1 X^2+X X+1 1 0 X^2 1 X^2+X X^2+1 X^2+X X X^2+X+1 0 X^2+1 X^2+X+1 1 1 X^2 1 X 0 1 X^2+X 0 X+1 X X+1 1 1 X^2+1 0 1 X^2+X 1 1 X^2+X 1 X^2+X+1 X^2+1 X X 1 1 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 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 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 0 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 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 X^2 0 0 X^2 X^2 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 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 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 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 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 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 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+76x^58+48x^59+234x^60+112x^61+435x^62+144x^63+542x^64+208x^65+536x^66+208x^67+532x^68+144x^69+420x^70+112x^71+210x^72+48x^73+57x^74+8x^76+3x^78+7x^80+2x^82+6x^86+1x^90+2x^92 The gray image is a linear code over GF(2) with n=264, k=12 and d=116. This code was found by Heurico 1.16 in 1.5 seconds.