The generator matrix

 1  0  0  0  1  1  1 X^2  1  1  X  0  1  1 X^2+X  1 X^2  0  1  X  X  1  1  0  X  1  1  X  1  1  1  1  1  1  1  X X^2 X^2+X  1 X^2+X  1  1  1  1  1 X^2  1  X  X  1
 0  1  0  0  0  1 X^2+1  1 X^2+1 X^2+X  1  1  X X^2+X+1 X^2 X+1  1  0  1 X^2+X  1  X X+1  1  0  X X^2  0  0 X^2+X+1 X+1 X^2  X X^2+1 X^2  X X^2  1 X^2+X X^2+X  1 X^2+1  0 X^2+1  0  X X^2+X  1  1  0
 0  0  1  0  1  1 X^2  1  0 X^2 X^2+X X+1  1 X^2+1  1 X^2+X X^2+1  1  0  1 X^2+1 X^2+X  1  X X^2 X+1 X+1  1  0  X X^2+1 X^2+1 X^2+X  X X+1 X^2  X  1  X  1 X+1  X X^2+X  X X^2+X+1  1 X^2+X+1 X^2+1 X^2 X^2
 0  0  0  1  1 X^2  1 X^2+1  0 X^2+1  1  0  X X^2+X+1  1 X^2+X  1 X+1 X^2+X+1  0  X  0  X X^2+X+1  1  X X^2+1 X^2 X^2+1  0 X^2+X+1 X^2+X X^2+X X^2+X+1  X  1  1 X^2+X X^2 X^2+X+1 X^2 X^2+X  1  X  X  X  X X^2+X+1 X^2+1 X^2
 0  0  0  0  X  0  0  X X^2  X  X X^2+X  X  X  0  X X^2 X^2+X  X  X  0  X X^2+X X^2  X  0 X^2 X^2+X X^2+X  0 X^2 X^2 X^2  0  X  0 X^2+X X^2+X X^2+X  X  X X^2  0 X^2+X  0  0  X X^2  X  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+62x^42+322x^43+593x^44+860x^45+931x^46+1370x^47+1491x^48+1812x^49+1511x^50+1942x^51+1537x^52+1254x^53+1023x^54+764x^55+351x^56+276x^57+147x^58+76x^59+22x^60+18x^61+6x^62+6x^63+5x^64+4x^65

The gray image is a linear code over GF(2) with n=200, k=14 and d=84.
This code was found by Heurico 1.13 in 2.74 seconds.