The generator matrix

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

generates a code of length 50 over Z2[X]/(X^3) who´s minimum homogenous weight is 42.

Homogenous weight enumerator: w(x)=1x^0+117x^42+76x^43+349x^44+308x^45+509x^46+628x^47+716x^48+996x^49+806x^50+1084x^51+675x^52+668x^53+486x^54+252x^55+258x^56+76x^57+107x^58+8x^59+37x^60+19x^62+9x^64+2x^66+3x^68+2x^70

The gray image is a linear code over GF(2) with n=200, k=13 and d=84.
This code was found by Heurico 1.16 in 8.61 seconds.