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 0 1 X X X^2 X X 0 0 0 1 X^2 1 1 1 X 0 X X^2 1 X^2 0 X^2 X 1 1 1 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X 0 X X 0 X^2+X X^2+X X^2 X 0 X X^2 0 X^2 X^2 X^2+X X X X X X X X^2 X X^2 X X^2+X X^2 X X X^2 X X 0 X X X X 0 0 0 X 0 X X X^2+X 0 0 0 X X^2 X X^2+X X 0 X^2+X X^2+X X^2 0 X 0 0 0 X^2 X^2+X X^2+X X X^2+X X^2 X^2+X X X 0 X^2 X 0 X^2 X^2+X 0 X^2 0 X 0 X^2 X 0 X^2 X^2 X^2 0 0 0 0 X X 0 X^2+X X 0 X 0 X X^2+X X^2+X X^2 X^2 0 0 X^2 X^2+X X^2+X 0 X^2+X X^2 X 0 X X^2+X X^2 X 0 X^2+X X^2+X 0 X^2 X^2 X^2+X 0 X X X^2 X^2+X 0 X 0 X^2+X X^2 X 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 X^2 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 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 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 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 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 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+93x^40+80x^41+220x^42+270x^43+401x^44+514x^45+706x^46+896x^47+1167x^48+1384x^49+1518x^50+1764x^51+1515x^52+1604x^53+1191x^54+920x^55+703x^56+432x^57+361x^58+222x^59+179x^60+74x^61+84x^62+24x^63+36x^64+8x^65+12x^66+1x^68+3x^70+1x^74 The gray image is a linear code over GF(2) with n=204, k=14 and d=80. This code was found by Heurico 1.16 in 14.3 seconds.