using (ClientContext ctx = new ClientContext(WebURL))
{
    ctx.Credentials = new SharePointOnlineCredentials(UserName, Password);

    var web = ctx.Web;
    var templates = web.ListTemplates;
    ctx.Load(web, s => s.ListTemplates);
    ctx.ExecuteQuery();

    var archiveTemplate = templates.GetByName(ArchiveTemplate);

    ListCreationInformation lic = new ListCreationInformation();
    lic.Title = "New List";
    lic.TemplateFeatureId = archiveTemplate.FeatureId;
    lic.TemplateType = archiveTemplate.ListTemplateTypeKind;
    web.Lists.Add(lic);
    ctx.ExecuteQuery();

}

ctx.Load(archiveTemplate, at => at.FeatureId);
 ctx.ExecuteQuery();

var templates = ctx.Site.GetCustomListTemplates(web);
ctx.Load(templates);
ctx.ExecuteQuery();
var template = templates.First(t => t.Name == ArchiveTemplate);