The generator matrix 1 0 0 1 1 1 X^2+X 1 1 0 X 1 1 X 1 X^2+X X 1 1 1 X 1 1 X 1 0 0 1 X 0 X^2 X^2+X 1 1 1 0 X^2 1 0 X^2 1 X^2 1 1 1 X^2+X 1 1 1 0 1 0 0 1 X+1 1 X^2+X X^2+1 1 X X^2+1 X^2+X 1 X^2+X+1 1 1 1 X^2+X 0 X X^2+X+1 0 1 X+1 1 0 X 1 X^2 X 1 0 X^2+X+1 X^2+X 1 X X^2+1 1 1 X^2 1 0 X X^2 1 X^2 1 X^2 0 0 1 1 1 0 1 X^2+1 1 1 1 0 X^2 X 1 X 1 X^2 X+1 X^2 1 X+1 X X^2+X X^2 X+1 1 X^2+X+1 X^2+X+1 1 1 X^2+X+1 X^2+X X^2+X+1 X^2 X^2+1 1 X^2 X^2+1 1 X^2+X+1 X^2+X+1 X+1 X^2+1 X^2+X+1 X^2+X X^2+X X 0 0 0 0 X 0 0 X^2 X^2 X^2+X X X X^2+X X X^2+X X^2+X X X^2 X X X^2+X X^2+X X^2 X^2 0 X^2 X X 0 X^2 0 X X^2+X X^2 X^2 0 X 0 X X^2 X 0 X^2 X^2 X^2 X X X^2 X X^2+X 0 0 0 0 X X^2 X X^2+X X^2 X^2 X^2+X X X X^2+X X^2+X 0 X^2 X^2 X^2+X X^2 X^2 0 X X^2+X X^2+X 0 X 0 X X^2+X 0 X^2+X 0 X X^2+X 0 0 X^2+X X^2+X X^2+X 0 X^2 X^2 0 X X^2 X^2 X^2+X X^2 generates a code of length 49 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+102x^42+302x^43+369x^44+638x^45+603x^46+934x^47+749x^48+1022x^49+731x^50+796x^51+604x^52+568x^53+247x^54+250x^55+126x^56+70x^57+39x^58+18x^59+7x^60+6x^61+6x^62+4x^63 The gray image is a linear code over GF(2) with n=196, k=13 and d=84. This code was found by Heurico 1.16 in 2.45 seconds.