The generator matrix 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 X X X^2 X 1 X 1 0 0 X 1 X^2 0 X 1 1 1 1 1 X 1 1 X^2 X 1 X X 1 1 0 X 0 X 0 0 X X^2+X 0 0 X X^2+X X^2 0 X^2+X X^2+X X^2 X^2 X X X^2+X X X^2+X X X^2+X X^2 X^2 0 X^2 X X X^2+X X X^2 X X^2+X X X X X^2 X^2+X 0 X^2 X X 0 X^2 0 X^2+X 0 0 0 X X 0 X^2+X X 0 0 X^2+X X 0 X X^2 X 0 X^2 X X X^2+X 0 X 0 X 0 X X X^2 X 0 X X^2 X^2+X X X 0 X^2 X X 0 0 0 0 X^2+X X X^2+X X X^2+X X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 X^2 0 0 X^2 0 0 0 X^2 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 0 X^2 0 X^2 0 X^2 X^2 X^2 0 0 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 0 0 0 X^2 X^2 0 0 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 0 X^2 0 0 0 0 0 0 X^2 0 0 X^2 0 X^2 0 0 0 0 X^2 0 X^2 X^2 0 X^2 0 X^2 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 0 0 0 0 0 0 X^2 0 0 0 X^2 0 0 0 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 0 0 X^2 X^2 X^2 0 0 0 0 X^2 X^2 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 0 0 0 X^2 0 0 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 0 X^2 0 0 0 0 0 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 0 0 X^2 0 X^2 0 X^2 0 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 0 0 0 0 0 0 0 0 0 0 0 X^2 X^2 X^2 X^2 0 X^2 0 X^2 X^2 X^2 0 X^2 X^2 X^2 0 0 X^2 X^2 X^2 0 X^2 X^2 0 X^2 0 0 X^2 0 X^2 0 0 0 0 0 0 0 0 0 X^2 0 X^2 0 0 X^2 X^2 X^2 0 0 X^2 0 X^2 X^2 X^2 X^2 X^2 0 X^2 0 0 0 X^2 0 0 0 0 X^2 X^2 0 X^2 X^2 0 0 X^2 0 0 X^2 X^2 X^2 X^2 generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 38. Homogenous weight enumerator: w(x)=1x^0+40x^38+36x^39+133x^40+148x^41+208x^42+384x^43+404x^44+690x^45+902x^46+1194x^47+1504x^48+1592x^49+1811x^50+1680x^51+1532x^52+1252x^53+897x^54+696x^55+403x^56+356x^57+182x^58+96x^59+92x^60+58x^61+48x^62+10x^63+22x^64+7x^66+4x^68+1x^70+1x^80 The gray image is a linear code over GF(2) with n=200, k=14 and d=76. This code was found by Heurico 1.16 in 13.8 seconds.