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 X^2 X X X^2 0 X^2 1 X 0 1 1 X 1 X 1 X 0 0 1 X 1 X 1 1 1 1 1 X 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X 0 X^2+X X X X^2 X^2 X^2+X X X^2+X X^2 X X X^2 X^2+X X X 0 X X 0 X^2+X X^2 X X^2 X^2+X 0 X^2 X X 0 X X 0 0 X^2+X X^2+X X^2+X X X^2+X 0 0 X 0 X X X^2+X 0 0 0 X X^2 X X^2+X X^2 X X^2+X 0 X^2+X X^2+X 0 0 0 X^2 X^2+X X X^2 0 X^2+X X X X 0 X^2+X X 0 X X 0 X^2 X^2 X^2 X^2+X 0 0 X^2+X X^2 X^2+X 0 X^2 X^2 X 0 0 0 X X 0 X^2+X X 0 X 0 X X^2+X X^2+X X^2 X^2 X 0 X 0 0 X^2 X X^2+X 0 X^2 0 X^2+X X X X X^2 X 0 0 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^2+X 0 X X^2+X X^2 X X 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 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 0 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 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 0 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 0 generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+70x^41+112x^42+156x^43+288x^44+392x^45+489x^46+642x^47+937x^48+1108x^49+1412x^50+1710x^51+1710x^52+1670x^53+1475x^54+1200x^55+921x^56+714x^57+496x^58+324x^59+188x^60+128x^61+95x^62+62x^63+42x^64+12x^65+12x^66+2x^67+6x^68+2x^69+5x^70+3x^72 The gray image is a linear code over GF(2) with n=208, k=14 and d=82. This code was found by Heurico 1.16 in 16.8 seconds.