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^2+X 1 X 1 1 1 X^2+X 1 1 X 1 0 1 1 X X^2 1 0 1 1 X 1 1 1 1 1 X^2 X 0 X X^2 1 1 1 1 X^2 X X^2+X 1 1 1 1 0 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 X^2+1 1 X^2+X+1 1 1 X X+1 1 1 X^2 1 X^2 1 X^2+X X^2+1 1 1 X^2+X+1 1 X X+1 1 X+1 X^2+X X^2+1 0 X^2+1 1 1 1 1 1 X^2+X+1 X^2+X 0 0 1 0 1 X 0 X^2 0 1 0 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 0 X^2 X^2 X X 0 X 0 X^2 X^2+X X^2+X 0 X^2 0 0 X^2 X^2+X X^2+X X X^2 X X X^2+X X^2 X X^2 0 X^2+X X^2 X X^2+X 0 X^2+X X^2 0 X^2 0 X^2+X X X 0 X^2 X^2+X X^2+X 0 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 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 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 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 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 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 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 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 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 54. Homogenous weight enumerator: w(x)=1x^0+95x^54+28x^55+295x^56+176x^57+523x^58+440x^59+762x^60+560x^61+916x^62+656x^63+962x^64+592x^65+743x^66+392x^67+424x^68+208x^69+219x^70+20x^71+86x^72+53x^74+22x^76+10x^78+7x^80+1x^82+1x^88 The gray image is a linear code over GF(2) with n=252, k=13 and d=108. This code was found by Heurico 1.16 in 4.01 seconds.