The generator matrix

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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 45.

Homogenous weight enumerator: w(x)=1x^0+94x^45+210x^46+248x^47+246x^48+236x^49+230x^50+184x^51+138x^52+120x^53+106x^54+72x^55+44x^56+52x^57+42x^58+8x^59+2x^60+10x^61+4x^62+1x^64

The gray image is a linear code over GF(2) with n=200, k=11 and d=90.
This code was found by Heurico 1.16 in 0.163 seconds.