The generator matrix 1 0 0 1 1 1 0 0 1 1 X^2 1 1 0 1 1 X^2 1 0 1 0 1 1 X^2 1 X^2 1 0 0 X X X^2+X 1 1 X X X^2 1 1 1 X^2+X X 1 X^2+X 1 1 1 1 X X 1 1 1 1 1 X^2 1 1 1 1 1 1 1 0 1 0 0 1 1 1 0 X^2 X^2+1 1 0 1 1 X^2 X^2+1 1 X 1 X+1 X X^2 X^2+1 1 X^2+X 1 X^2+X+1 1 X^2+X 1 1 1 0 1 1 0 1 X 0 X^2+1 1 X X^2+X+1 1 1 X^2+X X^2+X+1 X+1 X 1 X^2 X^2+X X+1 X^2+1 X+1 1 X X^2 0 X+1 X^2+1 0 1 0 0 1 1 X^2 X^2+1 1 1 0 X^2 0 1 X^2+1 1 X^2 0 X^2 1 X^2+X+1 X^2+1 1 X^2 0 X 1 X X^2+1 X+1 1 X X+1 1 X+1 X^2+X+1 X 1 X X X^2+X+1 X^2+X X^2 1 X^2+X X^2+X X^2+X+1 X^2 0 X^2+X+1 1 X+1 X 0 X+1 X X^2+X+1 X^2+X X^2+1 1 X X^2 X+1 X X^2+1 0 0 0 X 0 X X X^2+X X X X X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2+X X^2+X X^2+X X^2+X X^2+X X X^2+X X^2+X 0 0 X X^2+X X^2+X X^2+X X^2+X X^2+X 0 X^2+X X^2 0 X X^2+X X^2 X^2 0 0 X^2+X X^2+X 0 0 0 X 0 X^2 X X^2 X^2 0 X^2 X^2 0 X^2+X X^2+X generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 58. Homogenous weight enumerator: w(x)=1x^0+88x^58+248x^59+231x^60+254x^61+263x^62+208x^63+210x^64+120x^65+106x^66+60x^67+51x^68+70x^69+32x^70+32x^71+21x^72+20x^73+6x^74+12x^75+14x^76+1x^78 The gray image is a linear code over GF(2) with n=252, k=11 and d=116. This code was found by Heurico 1.11 in 0.141 seconds.