The generator matrix 1 0 0 1 1 1 0 0 1 1 X^2 1 1 0 1 X^2 1 1 X^2+X 1 X 1 1 1 X^2 1 1 X X^2 1 1 1 1 1 0 X^2+X 1 X 1 1 X X^2+X 1 X^2+X 1 1 1 0 1 0 0 1 1 1 0 X^2 X^2+1 1 1 0 1 X+1 X^2+X X^2+1 X^2 1 X^2 1 X^2+X X^2+X+1 X 1 X+1 X^2+1 X^2 1 X^2+X+1 X+1 X^2+X+1 1 X^2+X+1 X X X 1 X+1 X 0 1 1 1 0 X^2+1 0 0 0 1 1 X^2 X^2+1 1 1 0 0 0 X^2+1 1 1 1 1 X^2 X+1 X^2+1 X X X^2+X X^2 X^2+1 X^2+X X+1 0 1 X^2+X+1 X^2 X^2+X X X+1 X+1 1 1 X^2 X^2+X X^2+X 1 1 X^2 X^2+X 0 X X X+1 0 0 0 X 0 X X X^2+X X X^2+X X X^2 X^2 X^2 0 X^2+X X X^2 0 0 X^2+X X 0 X^2+X X^2 X X^2 0 X^2+X X^2 X^2+X X X^2+X 0 X^2 X X^2 0 X^2 0 X^2+X X^2+X X 0 X^2+X 0 0 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+86x^42+176x^43+189x^44+326x^45+227x^46+286x^47+165x^48+176x^49+109x^50+106x^51+73x^52+50x^53+20x^54+22x^55+16x^56+8x^57+3x^58+2x^59+4x^60+3x^62 The gray image is a linear code over GF(2) with n=188, k=11 and d=84. This code was found by Heurico 1.11 in 0.078 seconds.