The generator matrix

 1  0  0  1  1  1  0  1  1  X  1  1  X  1  X  1 X^2  0  1 X^2  1 X^2+X  1  1  X X^2+X  1 X^2+X  1  X  X  X  1  1  1  1  1  1  1 X^2+X  0  1  1  1  1  1  1  0  1  X
 0  1  0  0  1  1  1 X^2 X^2+X+1  1 X+1 X^2+X  1  1 X^2+X X^2 X^2+X  1  1  1  X X^2 X+1  X  1  1  0  1 X^2+X+1  X  1  1  0 X^2+X+1 X^2+X+1  0  1  X X^2+X  1  1 X^2+X+1 X^2+1  0  0 X^2+X+1 X^2+X  1 X^2+X  X
 0  0  1 X+1 X^2+X+1  0 X+1  X X^2+X X^2+1 X^2+1 X+1  X  1  1 X^2+1  1 X^2+1  X X^2+X  X  1 X+1 X+1 X^2 X+1  X  1  0  1  X X^2  1  1 X^2+X X^2+X+1  1  0  0 X^2+1 X^2 X^2+X  1 X^2 X^2+X X^2  0 X^2+X+1 X^2+1  X
 0  0  0 X^2  0  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2  0  0  0  0 X^2  0  0 X^2  0  0 X^2 X^2  0  0 X^2  0 X^2 X^2  0 X^2  0  0 X^2 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2  0  0 X^2 X^2
 0  0  0  0 X^2  0 X^2  0  0 X^2  0 X^2 X^2 X^2  0 X^2 X^2  0  0 X^2 X^2 X^2 X^2  0 X^2 X^2 X^2 X^2 X^2  0  0  0  0  0 X^2  0  0  0 X^2  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2
 0  0  0  0  0 X^2  0  0  0 X^2  0  0  0  0  0 X^2 X^2 X^2  0  0  0  0 X^2 X^2 X^2  0  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2  0  0  0  0 X^2  0 X^2 X^2 X^2 X^2 X^2 X^2 X^2 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+130x^44+124x^45+570x^46+192x^47+577x^48+224x^49+728x^50+204x^51+436x^52+140x^53+350x^54+104x^55+174x^56+24x^57+70x^58+12x^59+26x^60+8x^62+2x^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 0.539 seconds.