The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 X^2 1 1 1 X^2+X 1 1 X 1 0 1 1 1 0 1 1 1 X^2 1 X 1 1 1 X^2 1 1 X 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 0 X+1 1 X^2+X X^2+1 1 X^2 1 X+1 X^2+1 X^2+X 1 X^2+X+1 X 1 0 1 X^2+1 X^2+1 0 1 0 X^2 X^2+1 1 1 X X+1 X^2+X+1 X^2+1 0 X^2 X^2+X 0 0 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 0 0 0 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 generates a code of length 46 over Z2[X]/(X^3) who´s minimum homogenous weight is 41. Homogenous weight enumerator: w(x)=1x^0+72x^41+103x^42+82x^43+88x^44+100x^45+142x^46+130x^47+88x^48+64x^49+67x^50+38x^51+11x^52+20x^53+5x^54+6x^55+3x^56+2x^58+1x^60+1x^62 The gray image is a linear code over GF(2) with n=184, k=10 and d=82. This code was found by Heurico 1.16 in 22.4 seconds.