The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X 0 0 X^2 0 X X X X^2 X 1 1 0 1 X^2 X X^2 X^2 1 X 1 0 X 0 0 0 X X^2+X X 0 X^2 X^2 X X^2+X 0 X^2+X X X^2 X^2+X 0 X^2+X 0 X X^2+X X^2+X 0 0 X^2+X X X^2 0 X X^2 X X 0 X^2+X 0 X^2 X X X X X^2 X X X X^2 X X 0 0 0 X 0 X X X^2+X 0 0 0 X X^2 X X^2+X X^2 X^2+X X^2 X^2 0 X^2 X X X^2 X^2+X X^2 X X X^2 X X 0 X X^2 0 X^2+X X^2+X X X X^2+X X^2 X X 0 X 0 X^2+X X X^2+X X^2+X X^2 0 0 0 X X 0 X^2+X X 0 X 0 X X^2+X X^2+X X^2 X^2 0 X^2 X^2+X X 0 0 X^2+X X^2+X X 0 X 0 X X^2+X 0 0 X^2+X 0 X^2 X^2+X X^2+X X^2+X X^2 X^2+X X X X^2 X^2 X 0 X^2+X X 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 X^2 0 0 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 X^2 0 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 X^2 0 0 X^2 0 0 X^2 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 0 0 X^2 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 0 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+222x^40+456x^42+112x^43+788x^44+536x^45+932x^46+1320x^47+1172x^48+2104x^49+1034x^50+2152x^51+1202x^52+1352x^53+968x^54+504x^55+777x^56+104x^57+412x^58+8x^59+168x^60+36x^62+19x^64+2x^66+2x^68+1x^88 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 14.3 seconds.