The generator matrix

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

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+103x^42+8x^43+283x^44+64x^45+411x^46+144x^47+514x^48+296x^49+569x^50+296x^51+447x^52+144x^53+315x^54+64x^55+246x^56+8x^57+130x^58+42x^60+6x^62+2x^64+2x^66+1x^72

The gray image is a linear code over GF(2) with n=200, k=12 and d=84.
This code was found by Heurico 1.16 in 0.89 seconds.