The generator matrix 1 0 1 1 1 X^2 1 1 X 1 1 X^2+X X 1 1 0 1 1 X^2+X 1 1 1 1 X^2 X X^2+X X^2+X X^2 X^2 X^2 X^2+X X^2+X 0 X^2 X^2+X X X^2+X X 1 1 1 1 X^2+X X X X^2 1 1 X 1 1 1 1 X 1 X 1 1 0 X^2+X X 0 1 0 1 1 0 X+1 1 X^2+X+1 0 1 X^2 1 1 1 X X^2+1 1 X X+1 1 X^2+X X+1 X 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 X^2+X+1 X X^2+1 1 1 X^2 1 X^2+X X^2+X+1 X 1 0 0 X+1 X^2+X X^2+1 X X^2 1 1 1 X^2 1 X^2+X+1 0 0 X 0 0 0 0 X X^2+X X X X X^2+X X^2+X X^2 X^2 X^2 X^2+X X^2+X X^2+X X^2+X X^2 X^2 X^2 X^2+X 0 X^2 X X^2+X X^2+X X^2 X^2 X X^2+X 0 0 0 X^2 X^2+X X^2 X 0 X X X X^2 0 X X X^2+X X^2 X^2+X X^2 0 0 X^2+X X^2+X X^2+X 0 X^2+X X^2 0 X 0 0 0 X X^2 X^2+X X^2+X X X^2 X^2 X^2+X X 0 0 0 X^2 X^2 X^2 X X^2+X X X^2+X X X^2+X X^2+X 0 X 0 X X^2 X^2+X 0 X^2 X^2+X X^2 X^2+X X X^2 X^2+X X^2+X X^2+X X^2+X 0 X 0 X^2 0 X^2+X X^2 X^2 X^2+X 0 0 X^2+X 0 X X^2 X^2+X X^2 X^2 X^2+X X^2+X X^2 generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 59. Homogenous weight enumerator: w(x)=1x^0+148x^59+138x^60+146x^61+70x^62+142x^63+86x^64+90x^65+36x^66+58x^67+31x^68+26x^69+14x^70+14x^71+6x^72+2x^73+6x^75+8x^77+1x^84+1x^88 The gray image is a linear code over GF(2) with n=252, k=10 and d=118. This code was found by Heurico 1.16 in 15.6 seconds.