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 0 1 1 1 X 1 X^2+X 1 X^2 1 1 X 1 X^2+X 0 1 1 1 1 X 1 1 1 X^2 1 1 0 X^2+X 0 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 1 X^2+1 X^2+X X^2+X+1 1 1 1 X 1 0 1 X X^2+X 1 0 X X+1 X X^2+1 X^2 X^2+X 1 X 1 X^2+X+1 X 1 1 1 X^2 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 0 X^2 0 X X X X^2 X^2+X X 0 X^2+X X X^2 0 X X^2 0 X^2+X X^2 X^2+X X^2+X X X^2 X^2 X^2 X^2+X 0 0 0 X 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 0 0 0 X^2 0 X^2 0 0 X^2 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 0 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 0 0 0 X^2 0 0 0 X^2 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 0 0 X^2 0 X^2 0 0 X^2 0 0 0 0 X^2 0 0 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 0 X^2 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 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 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 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 X^2 0 0 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+31x^40+38x^41+98x^42+160x^43+363x^44+262x^45+958x^46+462x^47+1905x^48+720x^49+2812x^50+792x^51+2793x^52+732x^53+1901x^54+500x^55+935x^56+262x^57+342x^58+120x^59+94x^60+30x^61+28x^62+14x^63+14x^64+4x^65+4x^66+5x^68+1x^70+2x^72+1x^76 The gray image is a linear code over GF(2) with n=204, k=14 and d=80. This code was found by Heurico 1.16 in 10.4 seconds.