The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 1 1 0 X 0 X X^2 X 0 0 0 1 0 X^2 1 0 1 0 1 1 X^2 1 1 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X^2 0 X X^2 X^2+X X X X^2 X X X 0 0 X^2 0 0 X^2 X^2+X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2 X X^2+X X 0 0 X^2+X X^2 X 0 X X X^2 0 X X^2 X X 0 X^2+X X^2 X^2 X^2+X 0 0 0 X 0 0 0 X X^2+X X 0 0 0 X X 0 X X^2 X X^2+X X^2+X 0 X^2 0 X^2 X^2+X X^2 X^2 X X^2+X 0 X X^2+X X X^2 X 0 X X^2 X^2 0 0 0 X^2 X^2+X 0 X X^2 X X^2 X^2+X X^2 X^2 X X^2+X X^2+X X^2 X^2+X X X X^2 X X^2+X 0 0 0 0 X 0 X X X^2+X 0 X X X^2 0 X^2 X^2+X X X 0 X^2+X X^2+X X^2 X 0 0 X^2 X 0 X 0 X^2+X X^2+X X X^2 0 X^2 X X 0 X^2 X 0 X^2+X X^2 X X X^2 X X^2+X 0 X^2 0 X^2 X^2+X 0 X^2+X 0 X^2 X^2+X X 0 0 0 X^2+X 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X^2 X^2 X 0 0 X X^2 0 X^2+X X^2 X X X X 0 0 0 X^2+X X 0 0 X X^2 X 0 0 X^2 X^2+X 0 X X^2 X^2+X X^2+X X^2+X X X X^2 0 X X^2+X X^2+X X^2+X 0 X X X^2+X X^2+X X X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 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 X^2 0 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 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+155x^52+478x^54+16x^55+737x^56+108x^57+1058x^58+424x^59+1630x^60+920x^61+2164x^62+1160x^63+2118x^64+912x^65+1552x^66+440x^67+1061x^68+104x^69+690x^70+8x^71+353x^72+4x^73+190x^74+80x^76+12x^78+6x^80+2x^84+1x^96 The gray image is a linear code over GF(2) with n=252, k=14 and d=104. This code was found by Heurico 1.16 in 19.6 seconds.