The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 X 1 1 1 1 X^2 X 1 1 X 1 1 1 0 1 1 1 0 0 1 1 X^2+X 1 1 1 0 X^2 X^2+X 1 1 1 1 1 1 1 1 X^2 0 X^2 1 X^2 1 1 1 X 1 1 1 X 1 1 1 1 1 0 1 1 0 X^2+X+1 1 X X+1 1 1 X^2+X X^2+1 X+1 X^2+X 1 1 X 1 1 0 X+1 X^2 1 X^2+1 X^2+X X^2+1 1 1 X^2+X+1 0 1 X^2+X X+1 X^2+1 1 1 1 0 0 X+1 0 X^2+X 1 X^2+X+1 X^2+X+1 X 1 1 X X X^2 X^2+X X^2+1 1 1 X^2+1 X+1 X X+1 X^2+X X^2+1 X+1 0 0 0 X 0 X^2+X 0 0 0 X^2 X^2 0 X^2 X X X^2+X X^2+X X^2+X X^2 X^2+X X^2+X X^2 X^2+X X X X^2+X X^2+X 0 X^2+X 0 X^2+X 0 0 X^2 X^2 X 0 X^2 0 X X^2+X X^2 X^2 X^2 X^2 0 X 0 X^2+X 0 X^2+X X X 0 X^2 X X^2+X X^2+X X X^2 X^2+X X^2 X^2+X 0 0 0 0 X 0 0 X X^2 X^2+X X 0 0 X X X^2 X^2 0 X^2+X X^2+X X X^2+X X^2 X^2+X X X^2+X 0 X^2 0 X X^2 X 0 0 X^2 X^2+X X^2 X X^2 X^2 X^2+X X^2+X X X 0 X 0 X^2+X X^2+X X X X X^2+X X^2+X X^2+X 0 X^2 0 X 0 X^2+X X^2+X X 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 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+52x^54+128x^55+223x^56+264x^57+432x^58+582x^59+634x^60+686x^61+701x^62+836x^63+868x^64+706x^65+511x^66+510x^67+376x^68+224x^69+177x^70+102x^71+49x^72+28x^73+40x^74+12x^75+22x^76+10x^77+5x^78+6x^79+3x^80+2x^81+1x^82+1x^86 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 4.41 seconds.