The generator matrix

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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 44.

Homogenous weight enumerator: w(x)=1x^0+532x^44+1238x^46+1637x^48+1704x^50+1366x^52+1028x^54+504x^56+120x^58+54x^60+6x^62+2x^64

The gray image is a linear code over GF(2) with n=200, k=13 and d=88.
This code was found by Heurico 1.16 in 19 seconds.