The generator matrix

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

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+118x^44+192x^45+466x^46+282x^47+514x^48+352x^49+573x^50+318x^51+342x^52+170x^53+278x^54+134x^55+163x^56+68x^57+89x^58+18x^59+14x^60+2x^61+2x^62

The gray image is a linear code over GF(2) with n=200, k=12 and d=88.
This code was found by Heurico 1.11 in 0.203 seconds.