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 X 1 0 0 0 X 1 1 X^2 X X X^2 1 1 0 X X^2 1 1 1 0 1 X X 1 X^2 1 X^2 1 1 0 X 0 0 0 0 0 0 0 X X^2+X X X X^2+X X X^2 X X^2 X^2+X X^2 X^2 X^2 X X 0 X^2+X X^2 X X X^2 0 X^2+X X^2 X^2 X X X^2 X^2+X 0 X^2+X X X^2+X 0 X^2 0 X^2+X X X^2 X X^2+X 0 X^2+X X^2 X^2+X X^2+X 0 0 0 X 0 X^2+X 0 0 0 X 0 0 0 X X^2+X X 0 0 0 X X X^2+X X^2 X X X^2 X X^2+X X^2+X X^2+X X^2+X 0 X^2 X^2 X X^2 X 0 X^2+X X 0 X X 0 X^2+X X X X 0 X^2 0 X 0 X^2+X X^2+X X^2+X X^2 X^2+X X^2 X X^2+X 0 X^2 X^2 X 0 X 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^2+X 0 X^2 0 X X 0 0 X X X^2 0 X^2+X X^2+X X X X X X^2+X X^2 X^2 X^2 X X^2+X 0 0 X X X 0 X X^2 0 X^2+X X^2 X^2+X X^2+X X X^2+X 0 X^2 0 0 0 X 0 0 0 0 0 X X 0 X^2+X X X^2 X^2+X X^2+X 0 X^2+X X X^2 0 X X^2 0 X 0 0 X^2 X^2+X X^2+X X^2 X^2+X X^2 X^2+X X^2 0 X X^2+X 0 X^2+X X X X^2 X X^2 X^2 X^2+X X^2+X X^2 X^2 X^2 X 0 0 X^2 X^2+X 0 X^2+X X X X^2+X X^2+X 0 X^2+X X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 0 generates a code of length 62 over Z2[X]/(X^3) who´s minimum homogenous weight is 50. Homogenous weight enumerator: w(x)=1x^0+52x^50+82x^51+175x^52+212x^53+303x^54+388x^55+530x^56+754x^57+876x^58+1180x^59+1290x^60+1472x^61+1670x^62+1550x^63+1434x^64+1178x^65+884x^66+684x^67+503x^68+394x^69+221x^70+178x^71+126x^72+76x^73+83x^74+30x^75+31x^76+10x^77+6x^78+4x^79+5x^80+1x^90+1x^92 The gray image is a linear code over GF(2) with n=248, k=14 and d=100. This code was found by Heurico 1.16 in 18.9 seconds.