The generator matrix 1 0 1 1 1 0 1 1 X 1 X^2+X 1 1 1 0 1 1 X^2 X 1 1 X^2+X 1 1 1 1 1 1 X 1 X^2 0 1 1 0 X 1 1 X 1 X 1 1 1 0 X 1 1 1 X^2+X X^2+X 1 1 1 1 0 1 1 0 X+1 1 X X^2+X+1 1 X^2+X 1 X^2+1 0 X+1 1 X^2 X^2+X+1 1 1 X^2+X 1 1 X X^2+1 X^2+1 X^2+X+1 1 1 1 X^2 1 1 X^2 0 1 1 0 X+1 1 X^2+1 X X^2 X+1 X^2+X 1 X^2+X X^2+1 X 1 1 1 X^2+1 X+1 X+1 0 0 0 X X^2+X 0 X^2+X X X^2+X X 0 X^2 0 X^2 0 0 X X^2+X X^2+X X X^2 X X^2 X^2+X 0 0 X X^2+X X X^2+X X X^2+X 0 X X^2 0 X 0 X^2 X 0 X^2+X X^2+X 0 0 X^2 X X X^2 X^2+X X^2 X^2+X X X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 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 X^2 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 0 generates a code of length 55 over Z2[X]/(X^3) who´s minimum homogenous weight is 44. Homogenous weight enumerator: w(x)=1x^0+35x^44+46x^45+132x^46+156x^47+472x^48+316x^49+794x^50+720x^51+1594x^52+1156x^53+2103x^54+1340x^55+2082x^56+1212x^57+1655x^58+692x^59+794x^60+298x^61+382x^62+152x^63+111x^64+40x^65+44x^66+12x^67+22x^68+4x^69+7x^70+6x^72+3x^74+3x^76 The gray image is a linear code over GF(2) with n=220, k=14 and d=88. This code was found by Heurico 1.16 in 11.4 seconds.