The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 X^2+X 1 1 1 0 1 1 X^2+X 1 X^2 1 1 X^2+X 1 1 1 0 1 X 1 1 1 0 1 X^2+X 1 1 1 X^2+X 1 0 1 X X 1 1 1 X 1 1 1 1 0 X 1 X^2 1 0 1 X^2 1 1 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X 1 X^2+1 0 X+1 1 X^2+X X^2+1 1 X^2 1 X+1 X^2+1 1 X^2+X X^2+X+1 0 1 X 1 X^2+1 X^2+1 0 1 X^2+X 1 X+1 0 X+1 1 X^2+X 1 X^2+X+1 X^2+X 1 X^2+1 1 X^2+1 X 1 X^2+X X 0 1 1 X 1 X^2+1 1 X^2 1 X^2 X+1 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 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+120x^58+227x^60+178x^62+180x^64+189x^66+100x^68+22x^70+1x^74+1x^76+3x^80+1x^82+1x^90 The gray image is a linear code over GF(2) with n=252, k=10 and d=116. This code was found by Heurico 1.16 in 0.163 seconds.