The generator matrix 1 0 1 1 1 X^2+X 1 1 0 1 1 X^2+X 0 1 1 X^2+X 1 1 0 1 1 X^2+X 1 1 1 1 0 1 1 X^2+X 1 1 X^2+X 0 X 1 1 0 1 X^2+X X 1 X^2+X 1 0 X^2+X X^2 1 1 1 1 0 1 X+1 X^2+X 1 1 0 X+1 1 X^2+X X^2+1 1 1 0 X^2+1 1 X^2+X X+1 1 0 X+1 1 X^2+X X^2+1 0 X+1 1 0 X^2+1 1 0 X^2+X 1 1 1 0 X^2+X 1 X^2 1 0 X^2 1 X^2 X 1 1 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 X^2 0 X^2 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 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 X^2 X^2 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 0 0 0 0 0 0 0 0 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 0 generates a code of length 51 over Z2[X]/(X^3) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+47x^40+32x^41+57x^42+86x^43+148x^44+138x^45+421x^46+262x^47+907x^48+348x^49+1466x^50+336x^51+1549x^52+320x^53+959x^54+256x^55+338x^56+164x^57+117x^58+74x^59+62x^60+22x^61+40x^62+10x^63+18x^64+8x^66+1x^68+3x^70+1x^72+1x^78 The gray image is a linear code over GF(2) with n=204, k=13 and d=80. This code was found by Heurico 1.16 in 2.81 seconds.