The generator matrix 1 0 0 0 0 1 1 1 X^2+X 1 0 1 X^2 1 X^2+X 0 X^2+X 1 0 1 0 X^2+X 1 1 1 X 1 1 X^2 1 1 1 1 1 1 1 1 0 1 1 1 1 0 1 0 0 0 0 X^2 0 X^2 X+1 1 X^2+X+1 1 1 1 1 X X 1 1 X^2 0 X^2+X+1 X 1 X X+1 X^2+X 1 1 0 1 1 X^2+X X^2 X+1 X 1 X+1 X^2+1 X^2+1 0 0 0 1 0 0 0 1 1 1 X^2+1 X^2+X+1 X^2 X 0 X^2+X 1 1 X^2+1 X^2+X X+1 X 1 X+1 X^2 X+1 1 X^2+X X^2+X X^2+X+1 X^2+1 X^2+X 0 X^2+1 1 X+1 X X^2+X 1 X+1 X^2+X 1 X^2 0 0 0 1 0 1 1 X X^2+X+1 X^2 1 X+1 0 X+1 1 1 X^2+X X^2+X+1 X+1 X 1 X+1 1 X 0 X^2+X+1 0 X+1 X^2+X X^2+X+1 1 0 X^2+X X^2 X+1 X^2+X+1 X^2+1 X+1 1 0 X^2+1 X^2 0 0 0 0 1 1 X X+1 X+1 X^2+1 X X+1 1 X X+1 X^2+1 1 X^2+X+1 X^2+X X^2 1 0 X^2+X X^2+X+1 X X X^2+1 0 X+1 X^2+1 X^2 X X^2+1 X X^2+1 X+1 X^2 X^2 X^2+X+1 X X^2+1 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 0 X^2 0 0 X^2 generates a code of length 42 over Z2[X]/(X^3) who´s minimum homogenous weight is 33. Homogenous weight enumerator: w(x)=1x^0+56x^33+443x^34+748x^35+1784x^36+2632x^37+4112x^38+4852x^39+6697x^40+6994x^41+8340x^42+7180x^43+7367x^44+5070x^45+4121x^46+2336x^47+1470x^48+662x^49+380x^50+176x^51+85x^52+10x^53+11x^54+4x^55+4x^56+1x^58 The gray image is a linear code over GF(2) with n=168, k=16 and d=66. This code was found by Heurico 1.13 in 28.8 seconds.