The generator matrix 1 0 0 0 0 1 1 1 0 1 X^2 1 1 X^2+X 0 X X 1 0 1 1 1 X 1 1 1 X^2 1 0 X^2 X X 1 1 1 1 1 X^2+X 1 1 0 1 1 1 X^2+X X^2+X X 1 X 1 X 1 1 X^2 X X^2+X 1 1 1 X^2 1 1 1 0 1 0 0 0 0 X+1 X X^2 X+1 1 X^2 1 1 1 1 1 X^2+1 1 X^2+X+1 X^2+1 X^2+1 X X X^2+1 X X^2+X 0 X^2+X 1 1 1 X+1 0 X^2+1 0 X^2 0 X+1 X^2+X X X X 1 1 X^2 1 1 0 1 1 X^2 X+1 1 1 1 X^2+X X^2+1 0 1 X^2+X+1 X^2 0 0 0 1 0 0 0 1 X+1 1 X^2+1 X^2 X^2+1 1 X+1 X^2+X X^2+1 X^2+X 0 1 X^2 0 X 1 X+1 X^2+X+1 X 1 X^2 0 X^2+1 X^2+1 X^2+X+1 0 X^2+X+1 1 X^2+1 X^2+X 1 1 X^2+1 X X^2+X X^2+X+1 X^2+1 1 0 X+1 X^2 X X^2+X X^2 X^2+X X X 0 X^2 X^2+1 X+1 X+1 X+1 X^2+X+1 0 0 0 0 0 1 0 1 X^2 X^2+1 1 X+1 X^2+1 X^2+X X X^2+X+1 X X^2+X X+1 0 X^2 X^2+X+1 X X^2+X+1 0 X X+1 X^2+1 X^2+1 X 1 X^2+X+1 X^2+X+1 X X 1 X^2+1 X^2+X 0 X^2+1 1 1 1 X^2+X+1 0 X X^2+X 1 X^2+X X+1 X^2 0 X^2+X+1 0 X^2+1 X+1 X^2+X+1 X X^2 X X^2+X X^2+X+1 X^2+1 X+1 X^2 0 0 0 0 1 1 X^2+1 X X+1 X^2+1 X^2+X X^2+1 0 0 X^2+1 1 X^2+X+1 X^2+X X 0 X^2+1 X^2+1 X^2+1 X X^2 0 X X^2+X+1 X^2+1 1 X^2+X X+1 X^2+1 X^2+X+1 X+1 X+1 X^2+X X^2+1 X^2+X X^2+X 0 X^2 X^2+X 0 X X^2+1 X^2+X+1 X^2 1 X^2+X+1 X^2+X+1 X+1 X^2+1 X^2 1 X+1 X^2 X^2+X+1 X^2+1 X+1 X X^2+1 0 0 0 0 0 0 X 0 X X X^2+X X X^2 X^2 X^2+X X^2 X^2 X^2+X 0 0 X^2+X X^2 X^2+X 0 X^2 X X^2+X X^2+X 0 X^2+X X X 0 0 X^2 X^2 X X^2+X 0 X^2 0 X^2 0 X^2+X X X^2+X X^2 X 0 X X 0 X^2 X^2+X 0 0 X^2+X X^2 X X X^2 0 X^2+X X^2 generates a code of length 63 over Z2[X]/(X^3) who´s minimum homogenous weight is 52. Homogenous weight enumerator: w(x)=1x^0+117x^52+582x^53+1094x^54+2166x^55+3086x^56+4456x^57+5848x^58+8012x^59+9320x^60+11878x^61+11942x^62+13096x^63+12373x^64+12386x^65+9901x^66+8100x^67+6007x^68+4372x^69+2606x^70+1786x^71+896x^72+542x^73+202x^74+176x^75+68x^76+24x^77+22x^78+8x^79+4x^80+1x^82 The gray image is a linear code over GF(2) with n=252, k=17 and d=104. This code was found by Heurico 1.13 in 195 seconds.