The generator matrix

 1  0  0  1  1  1  0  0  1  1 X^2  1  1  0  1  1 X^2  1 X^2+X  1  X  1  1  1 X^2  1 X^2  X  1  1  1  1  1  1 X^2+X X^2+X  X  1  1  1  1  X  1 X^2  1  X  1  1  X  1
 0  1  0  0  1  1  1  0 X^2 X^2+1  1  1  0  1 X^2+1 X+1 X^2+X X^2  1 X^2  1 X^2+X X^2+X+1  X  1 X+1  1 X^2 X^2+1 X^2+X+1 X+1  X X^2 X^2+X+1  X  1  1  1 X^2+X+1 X+1 X^2+1  1  X X^2+X X^2+1  0 X^2+1  0  X  0
 0  0  1  1 X^2 X^2+1  1  1  0  0  0 X^2+1  1  1 X^2  1  1 X+1 X^2+1  X  X X^2+X X^2 X^2+1 X^2+X X+1 X^2+X+1  1  0 X^2 X^2+X  0  X X+1  1 X^2  X X+1 X+1  X X^2+X+1 X^2+X X^2  1 X^2+X  1 X^2+X  0  1  1
 0  0  0  X  0  X  X X^2+X  X X^2+X  X X^2 X^2 X^2  X  0 X^2+X X^2  0  0 X^2+X  X  0 X^2+X X^2  X X^2+X  0 X^2 X^2 X^2+X X^2 X^2+X  0  X X^2+X X^2 X^2+X X^2 X^2  X  0  0  0  X X^2 X^2+X X^2+X X^2+X  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+66x^45+236x^46+234x^47+263x^48+218x^49+257x^50+156x^51+180x^52+102x^53+110x^54+58x^55+72x^56+38x^57+25x^58+16x^59+4x^60+8x^61+4x^62

The gray image is a linear code over GF(2) with n=200, k=11 and d=90.
This code was found by Heurico 1.11 in 0.094 seconds.