Create Weight Column On Admin Screen

I am trying to create a custom column which displays product weight in the backend admin area of my woocommerce shop. I have created a simple plugin which is currently adding a column and inserting the chosen data.

Where i try and select [‘weight’] it is currently not bringing up any data. This field works fine with author, date and a couple of other bits. However trying to add woocommerce data just brings up a blank field. I have tried a few different codes and no luck.

Any ideas how I can rectify? Apologies for my inexperience, maybe I am going about this the complete wrong way? Thanks in advance

<?php 
add_filter( 'manage_product_posts_columns', 'primo_filter_posts_columns' );
function primo_filter_posts_columns( $columns ) {
  $columns ['weight'] = __('Weight');
  return $columns;
} ?>