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 0 1 1 1 1 X^2 1 1 1 0 X^2+X 1 1 X^2+X 1 X^2+X 1 X^2+X X 1 X 1 1 X^2 1 X 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 1 X^2+1 1 X^2+X+1 X^2 1 X 1 X 1 1 0 0 1 X^2+1 1 X+1 1 X X^2+X 1 X^2+X+1 X^2 0 0 X^2 X+1 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 X^2+X X^2+X X^2+X 0 0 0 X^2 X^2 0 X^2 0 X X^2+X X X 0 X X X^2 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 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 0 X^2 X^2 0 0 0 X^2 X^2 X^2 0 0 X^2 X^2 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 X^2 0 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 0 X^2 0 X^2 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 0 X^2 X^2 X^2 0 X^2 0 0 0 0 0 X^2 X^2 0 0 0 0 X^2 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 0 X^2 0 X^2 X^2 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 X^2 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 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 X^2 0 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 X^2 0 X^2 X^2 X^2 0 X^2 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 X^2 0 X^2 0 X^2 0 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 0 0 X^2 X^2 generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 40. Homogenous weight enumerator: w(x)=1x^0+63x^40+74x^41+156x^42+264x^43+522x^44+658x^45+855x^46+1286x^47+1780x^48+1804x^49+1500x^50+1832x^51+1725x^52+1308x^53+895x^54+644x^55+451x^56+234x^57+144x^58+64x^59+56x^60+18x^61+25x^62+6x^63+9x^64+8x^66+1x^68+1x^70 The gray image is a linear code over GF(2) with n=200, k=14 and d=80. This code was found by Heurico 1.16 in 10.5 seconds.