The generator matrix 1 0 0 1 1 1 0 X 1 X^2 1 1 X 1 X^2+X 0 X X 0 1 1 1 1 1 0 1 1 X 1 X^2 X 1 1 1 1 1 1 X^2+X 1 1 1 X^2 X^2+X 1 1 1 0 1 0 0 1 1 1 X^2 X^2+1 1 X^2 X+1 1 X 1 X^2+X 1 X^2+X 1 X^2+1 X^2+X X^2+X+1 0 1 1 1 X 1 X^2+X 1 1 X+1 X+1 X^2+1 X X^2+X+1 X^2+1 X^2+X X+1 X^2+X X+1 1 1 0 X^2+1 0 0 0 1 1 X^2 X^2+1 1 1 X X^2+X X^2+X X^2+1 X^2+X+1 1 X^2+1 1 0 1 X+1 X^2+X+1 X+1 X^2+X+1 X+1 X^2+X X 0 X^2 X^2+X X^2+X X^2 X^2 X^2 X^2+X 1 1 X^2+X+1 X+1 1 0 X X^2+X X^2+X+1 X^2+X+1 X^2+X+1 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 42. Homogenous weight enumerator: w(x)=1x^0+82x^42+138x^43+184x^44+102x^45+127x^46+130x^47+84x^48+26x^49+37x^50+32x^51+34x^52+16x^53+25x^54+4x^55+1x^56+1x^58 The gray image is a linear code over GF(2) with n=184, k=10 and d=84. This code was found by Heurico 1.11 in 0.047 seconds.