The generator matrix 1 0 0 0 1 1 1 0 0 X^2 1 1 1 1 X^2+X X^2 1 X^2+X X^2 1 1 X^2 1 1 X 1 1 1 1 1 1 1 1 1 X X 0 1 X X^2 X 1 1 X^2+X X^2+X X X 0 1 0 0 0 X^2 X^2 X^2 1 1 X+1 1 1 X^2+1 1 1 X X^2+X 0 X^2+X X+1 X X^2 X+1 1 1 X+1 X^2 0 X X X^2+X 1 X 0 X 1 X^2+X+1 1 1 1 X+1 X^2+1 1 X 0 1 0 0 1 0 X^2 1 X^2+1 1 X+1 0 1 X^2+X X^2 X+1 X+1 X 0 1 1 X+1 X^2+X X^2 X 0 0 X+1 X^2+1 X^2+X X 1 X+1 X^2 1 X^2+X+1 1 1 X^2+X X^2+X+1 X+1 X+1 X X^2 0 X 1 1 X^2+X 0 0 0 1 X^2+X+1 X^2+X+1 0 X+1 X^2 1 1 1 X^2 0 X^2+X+1 X^2 X^2 1 X X^2+X X+1 1 1 X 0 X X^2+X+1 X X^2 X 1 X X+1 0 X^2+X+1 X^2+X X+1 X X^2+X X+1 X^2 X^2+1 1 X^2+X 0 X^2 1 generates a code of length 47 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+348x^42+222x^43+644x^44+220x^45+632x^46+224x^47+612x^48+144x^49+429x^50+150x^51+260x^52+36x^53+90x^54+28x^55+49x^56+5x^58+2x^60 The gray image is a linear code over GF(2) with n=188, k=12 and d=84. This code was found by Heurico 1.16 in 1.78 seconds.