The generator matrix

 1  0  0  1  1  1  0  1  1 X^2  0  X  1  1  1  X  1 X^2+X  1  1 X^2+X X^2+X  1  1  X  1 X^2+X X^2+X  1  1  1  1 X^2  0  0  1 X^2  1  1  1  0  1  1  1  X X^2+X  1  0  1  1
 0  1  0  0  1  1  1 X^2  0  X  1  1 X^2+X+1  1 X+1 X^2+X  X  1  0 X^2+X  1  1 X^2+X+1 X^2+1  1  1  1  0 X+1  X X^2+1 X^2+X  1  1  1  0  1  1 X^2+X+1 X^2  X X^2 X^2+X X^2+X X^2+X X^2  0 X^2 X^2+X  1
 0  0  1 X+1 X^2+X+1  0 X+1  X X^2+1  1 X^2+X  1  X  1  0  1 X^2+X X^2 X^2+1 X+1 X+1 X^2+X+1  1 X^2+1 X^2+1  X  X  1 X+1  1 X^2+X  0 X^2+X X+1 X^2+X X^2+X X^2+X  0  1  X  1 X^2+X  1  0  1  1 X^2+1  1 X^2+1 X+1
 0  0  0 X^2  0  0  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 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  0 X^2 X^2 X^2  0  0 X^2 X^2  0 X^2  0 X^2  0  0
 0  0  0  0 X^2  0  0  0  0  0  0  0  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2
 0  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2 X^2 X^2  0  0  0 X^2  0 X^2 X^2  0 X^2  0 X^2  0 X^2  0 X^2
 0  0  0  0  0  0 X^2  0  0  0  0 X^2  0  0  0  0  0  0  0  0 X^2 X^2  0  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 43.

Homogenous weight enumerator: w(x)=1x^0+116x^43+251x^44+572x^45+381x^46+862x^47+640x^48+1072x^49+600x^50+988x^51+574x^52+888x^53+391x^54+416x^55+176x^56+144x^57+24x^58+48x^59+15x^60+12x^61+11x^62+2x^63+7x^64+1x^70

The gray image is a linear code over GF(2) with n=200, k=13 and d=86.
This code was found by Heurico 1.16 in 61.7 seconds.