The generator matrix 1 0 1 1 1 X^2+X 1 1 X^2 1 1 X 1 X^2 X^2 1 1 1 X 1 X^2+X 1 1 1 1 1 1 0 1 X^2+X X^2 1 1 1 0 X 1 1 X^2 1 X 1 1 X^2+X X^2 0 1 X X^2 X^2 0 X^2 1 X 1 0 1 1 X^2+X X^2+X+1 1 0 X+1 1 X X^2+1 1 0 1 1 1 X^2 X+1 1 X^2+X+1 1 0 X^2+X X^2+1 X+1 1 X^2+X 1 X^2 1 1 X^2+X+1 X^2+1 X^2+X+1 1 1 X X^2+X 1 X^2+1 1 0 X+1 1 1 0 1 1 1 X 0 1 0 X^2 0 0 0 X 0 X^2+X 0 X^2+X 0 X^2+X X^2+X X^2 X X^2 X 0 X X^2+X X^2 X X 0 X^2 0 X^2 0 X^2+X X^2 X^2 X^2+X X^2 0 X X^2 X X^2 X^2+X X X^2 X^2+X X^2+X X^2 X^2+X X X^2+X X^2 X X^2+X X^2+X X^2+X X^2+X X X^2 X X^2+X 0 0 0 0 X^2 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 0 X^2 0 0 X^2 0 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 X^2 X^2 X^2 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 0 0 X^2 0 0 0 X^2 0 0 0 0 0 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 generates a code of length 55 over Z2[X]/(X^3) who´s minimum homogenous weight is 46. Homogenous weight enumerator: w(x)=1x^0+36x^46+90x^47+144x^48+390x^49+316x^50+596x^51+426x^52+950x^53+624x^54+1152x^55+645x^56+872x^57+436x^58+612x^59+253x^60+312x^61+104x^62+102x^63+53x^64+34x^65+16x^66+8x^67+8x^68+2x^69+4x^70+5x^72+1x^76 The gray image is a linear code over GF(2) with n=220, k=13 and d=92. This code was found by Heurico 1.16 in 3.3 seconds.