The generator matrix

 1  0  0  1  1  1  X X^2+X  1  1  1  1 X^2+X X^2 X^2  1  1  X  1  0  0  1 X^2  1  1  1  X  X  1  1  1 X^2  1 X^2  1  1 X^2+X X^2+X  1  1  X  1 X^2  X  1  1  1 X^2  1  1
 0  1  0  0  1 X+1  1  0 X^2  0 X^2+1 X+1  1  1  X X^2 X+1  1  X  1 X^2+X  1  1  0 X^2+X+1  1 X^2  1  X  1  X  1 X^2+X  1 X^2  X  1  1 X+1 X^2  1 X^2 X^2+X  1 X^2  1 X^2  1  0 X^2+X
 0  0  1  1  1  0  1  1 X+1 X^2+X X+1  X  0  1  1 X^2+X+1 X^2+1  1 X^2+X  X  1  X  0 X^2+X  1  0  1 X^2+X X^2+1 X+1 X^2+X+1 X^2+X+1  X X^2+1 X^2 X^2+X+1 X^2+X+1  1 X^2 X^2+X+1 X^2+1  X  1 X+1  0  0 X+1 X^2  0  1
 0  0  0  X  0 X^2 X^2  0 X^2+X X^2  0 X^2 X^2  0  0 X^2  X  X X^2+X X^2+X X^2+X  X X^2+X X^2+X  X X^2+X X^2+X X^2+X X^2+X  X  0 X^2 X^2 X^2+X  X X^2+X  X  X X^2+X  0  0  X  X X^2  X X^2+X  0  0  0 X^2+X
 0  0  0  0 X^2  0 X^2 X^2 X^2 X^2  0 X^2 X^2  0 X^2  0  0  0 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0 X^2  0 X^2  0 X^2 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2  0  0  0 X^2 X^2 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+83x^44+242x^45+316x^46+538x^47+349x^48+450x^49+402x^50+438x^51+241x^52+338x^53+246x^54+174x^55+120x^56+96x^57+21x^58+18x^59+6x^60+8x^61+4x^62+2x^65+3x^66

The gray image is a linear code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.16 in 0.553 seconds.