The generator matrix 1 0 1 1 1 0 1 X^2+X 1 X^2 1 1 X 1 1 1 X^2+X 1 1 X^2 1 X^2+X 1 1 X^2+X 1 1 1 X^2+X X^2 1 1 1 X^2 1 1 1 1 1 1 X^2+X 1 0 1 X^2 1 1 X X^2+X X^2+X 1 X 1 1 X 1 X^2 X^2 1 1 0 1 1 0 1 1 0 X^2+X+1 1 X 1 X+1 1 X^2+1 X^2+X 1 0 1 X 1 X+1 X^2 1 X^2+X+1 1 X^2+X+1 X 1 1 X^2+X 1 1 1 0 X^2+1 X^2 1 X^2+X+1 X+1 X^2+1 X^2+1 X X^2+1 1 0 1 1 1 X X^2+X 1 1 1 X^2+X 1 X^2 X 1 X^2+X 1 1 1 X^2+X 0 X+1 X^2+1 0 0 X 0 X^2+X X 0 X X^2+X X X 0 X^2+X X X^2 X X^2 X^2 X^2+X 0 X 0 X^2 X^2+X 0 X^2 X 0 0 X^2+X X^2+X X^2+X X X^2 X X^2 X X^2 X^2+X X^2 X^2+X 0 0 0 X^2+X 0 X^2 X X^2+X X^2 X^2+X 0 0 X^2 X^2+X X^2 X^2+X X^2+X X X X^2 X^2+X X^2 0 0 0 X 0 X X X X X^2 X^2+X X^2 0 X X X^2 0 0 X^2 X^2+X 0 X^2+X X X^2 0 X^2 X X 0 X X^2+X X X^2 X X X^2 0 X^2+X X 0 X 0 X X^2 X^2 X^2+X X X^2 0 X X^2+X X X 0 X^2+X X^2 0 X^2 X^2 X X X X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 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+335x^58+335x^60+425x^62+309x^64+375x^66+177x^68+51x^70+5x^72+22x^74+2x^76+8x^78+1x^80+2x^84 The gray image is a linear code over GF(2) with n=252, k=11 and d=116. This code was found by Heurico 1.16 in 9.68 seconds.