The generator matrix

 1  0  0  1  1  1  X  1 X^2+X  1  1  X  1 X^2+X  1  1  1  X X^2+X  0 X^2+X  1  1 X^2+X  1  1  1 X^2+X  1  1  1 X^2  1 X^2+X X^2  X X^2  1  1  1  1  X  1  1  1 X^2  1  1  1 X^2
 0  1  0  0  1 X^2+X+1  1 X^2  0 X^2 X^2+X+1  1 X^2+X+1  1  0 X+1  X  1  0  1  1 X^2+1 X^2+X  1 X^2+X+1  X X^2+1 X^2+X  0 X^2+1 X^2+X+1  1  X X^2  X X^2+X  X X^2+X+1  1 X^2  1  1 X^2+X X^2  X  0 X^2  1  0  1
 0  0  1  1 X+1  0  1 X+1  1  X X+1  X  X  1 X^2+X+1 X+1  0 X^2  1  1 X^2+X+1 X^2+X  1 X^2+1  X X^2+X X+1  1 X+1  1  0  0  1  1  1  1  1 X+1 X^2+1  1 X^2 X^2+1 X^2 X+1 X^2  1 X^2+X  X X^2+1 X+1
 0  0  0  X  X X^2+X X^2 X^2+X  0  0  X X^2  0 X^2+X X^2 X^2  X  X  X  X X^2 X^2+X  0  X X^2 X^2+X  0 X^2  0 X^2 X^2  0  X  X X^2+X X^2+X X^2  X X^2+X X^2+X  X X^2+X  0  X  X X^2 X^2  0  0 X^2
 0  0  0  0 X^2  0  0 X^2 X^2 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2  0 X^2 X^2  0 X^2 X^2  0 X^2 X^2  0  0  0  0  0  0  0 X^2  0  0 X^2 X^2 X^2 X^2  0  0  0 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  0  0  0 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0 X^2  0 X^2  0 X^2 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+98x^43+290x^44+446x^45+596x^46+684x^47+814x^48+866x^49+777x^50+870x^51+815x^52+596x^53+475x^54+352x^55+228x^56+130x^57+63x^58+44x^59+26x^60+10x^61+9x^62+1x^64+1x^68

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 2.56 seconds.