The generator matrix

 1  0  0  0  0  1  1  1  0  1 X^2  1  1  1  1  X  X  X  1 X^2+X  0 X^2 X^2  1  1  1  0  1  0  1  0  1 X^2  1  1 X^2+X  X  X X^2  1  1 X^2+X X^2+X  1  1  1 X^2  1 X^2  1
 0  1  0  0  0  0 X+1  X X^2 X+1  1 X^2 X^2+1 X+1 X^2+X+1  0  1  1  X X^2+X  1  1  1 X^2+X+1  X  1 X^2+X X^2+1  1 X^2+X  1  1 X^2+X X^2+X+1 X^2+X+1  1  1  1  1  1  X X^2 X^2 X^2 X+1 X^2+X  0 X+1  1 X^2
 0  0  1  0  0  0  1 X+1  1 X^2+1 X^2 X^2+1 X^2+X X^2+X+1 X^2+X  1 X+1 X^2+X+1  1  X X^2+X+1  X  0  0 X^2  0  1  1 X+1  0 X^2+X  1  1 X^2  0 X^2+X  0 X^2+X+1  0 X+1  1  1  X X^2+X+1  X X^2  1 X+1 X^2+X  0
 0  0  0  1  0  1 X^2 X^2+1  1 X+1 X^2+1 X^2+X X^2 X^2+1 X^2+X+1 X+1 X^2+1 X^2+X+1  X  1  0 X+1 X^2+X X+1  1 X^2  X  0  0 X^2+X  X X^2+1 X^2+X+1 X^2+1  0 X+1 X^2 X^2+X  X  X X^2+X X^2+X  1 X^2+X  X  0 X^2+1 X+1 X^2+X X^2
 0  0  0  0  1  1 X^2+1  X X+1 X^2+1 X^2+X X^2+1  0 X^2 X^2+X+1 X^2+X  0 X+1 X^2 X^2+X+1  X X+1 X+1  X X^2  1 X^2+1 X^2 X^2+X+1 X+1 X+1  0  X X^2+1 X^2+X+1 X+1  1 X^2+X X^2 X^2+1  0 X^2+1  X X^2+1 X^2 X^2+1  1 X+1 X^2 X^2+X
 0  0  0  0  0  X  0  X  X X^2+X  X X^2  0  X X^2+X X^2+X  X X^2+X X^2  X X^2  X  0  X X^2+X X^2  0  X X^2+X  X X^2+X X^2 X^2  0 X^2+X X^2 X^2+X X^2+X X^2+X X^2+X  X  X X^2+X  X X^2+X  X X^2+X  0  0  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+173x^40+642x^41+1290x^42+2442x^43+3580x^44+5816x^45+7433x^46+10328x^47+11780x^48+14440x^49+14301x^50+14488x^51+12697x^52+10924x^53+7667x^54+5680x^55+3270x^56+2074x^57+993x^58+566x^59+227x^60+148x^61+56x^62+32x^63+12x^64+4x^65+4x^66+4x^68

The gray image is a linear code over GF(2) with n=200, k=17 and d=80.
This code was found by Heurico 1.13 in 144 seconds.