The generator matrix

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

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+102x^43+306x^44+438x^45+574x^46+672x^47+771x^48+906x^49+867x^50+822x^51+777x^52+642x^53+461x^54+336x^55+234x^56+130x^57+74x^58+32x^59+23x^60+8x^61+7x^62+4x^63+4x^65+1x^66

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 2.57 seconds.