The generator matrix

 1  0  1  1  1  0  1 X^2+X  1  1 X^2+X  1  1 X^2  1  1  1 X^2  X  1  X  1  1  1  X  1  1  X  1  0  1  X  1  0  1  1  1  1 X^2  1  1  1  1  0  1 X^2  0  0  1  1
 0  1  1  0 X^2+X+1  1  X  1 X^2+X+1  X  1  1 X^2  1 X+1  0 X^2+X+1  1  1 X^2+X  1 X^2+1  X X^2+X+1  1  1  1  1 X^2+X+1  1 X^2+X+1  1 X^2  1  0 X+1 X^2+X+1  1  1  0 X^2+1  X  X  1 X+1  1  1  1 X+1 X^2
 0  0  X  0 X^2+X  X  0  X  0  X X^2  0  X  0 X^2 X^2+X  X  X X^2+X X^2  0 X^2+X  X X^2  0 X^2  X X^2+X X^2 X^2  0  X X^2  X X^2  X X^2  0 X^2 X^2+X X^2+X X^2  X X^2  X X^2+X X^2  0 X^2  X
 0  0  0  X  0  X  X  X X^2+X  0 X^2 X^2+X X^2  X X^2  X X^2+X X^2 X^2  0 X^2+X X^2+X X^2+X X^2+X X^2 X^2  X  0 X^2+X X^2+X  0 X^2  X  X X^2  0  0  0  0  X  X  X X^2  0 X^2 X^2+X X^2  X X^2 X^2+X
 0  0  0  0 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0  0  0  0  0  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2  0 X^2 X^2  0 X^2  0 X^2  0  0 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 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+162x^45+106x^46+334x^47+119x^48+306x^49+94x^50+292x^51+92x^52+278x^53+76x^54+124x^55+9x^56+14x^57+6x^58+12x^59+8x^61+6x^62+6x^63+2x^64+1x^72

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 38.4 seconds.