The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X X^2 0 0 1 1 X 1 1 0 1 1 1 0 0 1 X 1 X^2 0 0 1 X X X 1 X 0 X X 1 1 0 X 0 X 0 0 X X^2+X 0 0 X X^2+X 0 X^2 X^2+X X X^2 X^2+X 0 X X^2 X^2+X X X X^2 X^2 X^2+X X X^2+X X^2 0 X^2 X^2 0 X X^2 X^2 0 X X 0 X X X^2+X X^2+X X 0 X X 0 X^2 0 0 0 0 X X 0 X^2+X X 0 0 X^2+X X 0 X^2 X 0 X X X^2+X X^2 X X 0 X 0 X X X^2 X^2+X X^2 X X X^2 0 X^2 X^2 X X^2 X^2+X 0 X^2+X X X^2 X^2+X 0 X^2 X^2+X X^2+X X X X^2+X X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 generates a code of length 53 over Z2[X]/(X^3) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+34x^40+145x^42+4x^43+394x^44+28x^45+648x^46+240x^47+1061x^48+368x^49+1695x^50+920x^51+2179x^52+1032x^53+2192x^54+752x^55+1664x^56+560x^57+1113x^58+132x^59+624x^60+60x^61+288x^62+164x^64+53x^66+19x^68+8x^70+4x^72+2x^74 The gray image is a linear code over GF(2) with n=212, k=14 and d=80. This code was found by Heurico 1.16 in 14.8 seconds.