The generator matrix 1 0 1 1 1 0 1 1 X 1 X^2+X 1 1 1 0 1 1 X^2 X 1 1 X^2+X 1 0 1 1 1 1 1 X^2 1 1 1 1 X^2+X 1 1 0 1 1 0 X^2 X^2 1 X 1 0 X^2 X^2 X 0 X 0 1 1 0 X+1 1 X X^2+X+1 1 X^2+X 1 X^2+1 0 X+1 1 X^2 X^2+X+1 1 1 X^2+X 1 1 X 1 X^2+1 1 X^2+X+1 X^2+X+1 1 1 X^2 0 X^2 X 1 0 X+1 1 X^2+1 X^2+1 1 X 1 0 X^2 X^2+X+1 1 1 X X 0 X^2 0 0 X X^2+X 0 X^2+X X X^2+X X 0 X^2 0 X^2 0 0 X X^2+X X^2+X X X^2 X X^2 X^2+X 0 0 X X^2+X X X^2+X X^2+X X^2+X X^2 X X^2+X X^2 X^2 X^2 X^2 0 0 0 X^2+X 0 0 X 0 0 X^2+X X X^2+X X X 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 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 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 0 0 0 X^2 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 generates a code of length 52 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+67x^42+58x^43+285x^44+238x^45+716x^46+410x^47+1355x^48+618x^49+2337x^50+760x^51+2751x^52+696x^53+2365x^54+616x^55+1474x^56+416x^57+569x^58+190x^59+247x^60+74x^61+74x^62+14x^63+26x^64+6x^65+11x^66+5x^68+5x^70 The gray image is a linear code over GF(2) with n=208, k=14 and d=84. This code was found by Heurico 1.16 in 11.1 seconds.