The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 0 1 1 1 X^2+X 1 1 X^2+X 1 1 1 X 1 0 1 0 1 1 X^2 1 1 1 1 X 1 X^2+X X X^2 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 1 X+1 X^2+X X^2+1 1 0 X^2+1 1 X^2+X 0 X^2+1 1 X+1 1 X+1 1 X^2+X X^2+X+1 1 X^2 X X^2+1 X^2 0 X^2 1 0 X^2 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 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 X^2 0 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 36. Homogenous weight enumerator: w(x)=1x^0+111x^36+64x^37+108x^38+192x^39+236x^40+256x^41+164x^42+256x^43+196x^44+192x^45+84x^46+64x^47+81x^48+28x^50+11x^52+2x^56+2x^60 The gray image is a linear code over GF(2) with n=168, k=11 and d=72. This code was found by Heurico 1.16 in 0.15 seconds.