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 1 1 1 1 0 X^2 X X 1 X^2 X^2 X^2 X^2 1 X X^2 1 1 1 X 1 1 X 1 0 X 0 0 0 0 0 0 0 0 X^2 X X X^2+X 0 X^2+X X^2+X 0 X X^2 X^2+X X^2 X X X X^2 X 0 X X^2 X^2+X X X^2+X X^2+X X^2+X X^2+X X 0 X^2 0 X^2 X 0 0 X 0 X X^2+X X X X^2 X 0 X^2 X^2 X X^2+X X 0 X^2+X X X^2 X 0 0 X 0 0 0 0 0 0 0 X^2+X X^2 X X X X 0 X 0 X X^2+X X^2 0 X^2+X X X X^2+X X^2+X X^2 0 X^2+X 0 X^2 X^2+X X 0 X^2 X^2+X X X^2 X^2 X^2+X X 0 X^2 X^2+X X^2+X X^2+X X^2 X^2 0 0 X 0 X^2 X^2 X^2+X X^2 X 0 0 X^2+X X 0 0 0 X 0 0 0 X X^2+X X X X^2+X 0 X X^2 0 X^2+X X^2+X X^2+X X^2 X^2+X X 0 X^2 0 X^2 X X X X^2 X 0 X^2+X 0 X X^2+X 0 X^2 X 0 X^2 0 X^2+X X 0 X X X^2+X X^2 0 X X X^2 0 X X^2+X X^2 X X^2+X 0 X^2 X X^2 0 0 0 0 X 0 X X X X^2 X X X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2+X X^2+X X X^2+X X^2 X^2 X 0 X^2+X X^2 X^2+X X^2+X X X^2+X X 0 X^2+X X^2+X X^2+X X^2 X^2 0 X X^2 X X X^2 X X^2+X X^2+X 0 X^2+X X^2+X X^2 X X^2 X^2 X^2+X X^2 X^2+X X X^2 X^2+X 0 0 0 0 0 0 X X X^2 X^2+X X^2+X X X X^2+X 0 X X^2 X^2 X^2 X^2+X X 0 X^2 X^2 0 X 0 X X^2 X^2 X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 X^2 X X^2 X^2 X^2+X X^2 X X X^2 X 0 X^2 0 X^2+X X^2 X X^2+X 0 X X^2+X X^2+X X X^2+X X X X^2+X X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 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+88x^52+156x^53+227x^54+354x^55+331x^56+478x^57+610x^58+878x^59+1016x^60+1398x^61+1847x^62+1672x^63+1812x^64+1436x^65+1109x^66+854x^67+499x^68+532x^69+325x^70+224x^71+184x^72+142x^73+85x^74+44x^75+33x^76+18x^77+20x^78+6x^79+4x^80+1x^102 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 19.8 seconds.