How do I convert a generator matrix G to standard form?

Question

I'm trying to convert a generator matrix for a (10,4) code to standard form. (mod 2). I've looked for a while how to do this but I can't seem to find it.

Matrix is

$$ \begin{pmatrix} 1 & 0 & 0 & 1 & 1 & 1 & 0 & 1 & 1 & 1\\ 1 & 1 & 1 & 0 & 0 & 0 & 1 & 1 & 1 & 0\\ 0 & 1 & 1 & 0 & 1 & 1 & 0 & 1 & 0 & 1\\ 1 & 1 & 0 & 1 & 1 & 1 & 1 & 0 & 0 & 1\\ \end{pmatrix} $$

Answer 1

I used Magma software to obtain the generator matrix in the standard form as follows.