The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 1 X^2 X 1 1 1 1 X^2 X 1 1 1 1 1 1 1 1 X^2 X X^2 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 1 X+1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+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 X X^2+X+1 1 1 1 X^2 X X^2+X+1 1 1 1 X^2 X X^2 X X^2+X+1 1 X^2+X+1 1 1 1 1 1 0 X^2+X 0 X^2+X 0 X^2+X 0 X X^2 X^2+X X^2 X^2 X X X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 62. Homogenous weight enumerator: w(x)=1x^0+30x^62+192x^63+31x^64+2x^94 The gray image is a linear code over GF(2) with n=252, k=8 and d=124. This code was found by Heurico 1.16 in 0.104 seconds.