3 weeks to improve 10+ points (150s -to-> 165)?

So I've finished most of the independent sections on 7sage but had not had the chance to take any prep tests under limited time. And I just did a mock test in the afternoon and scored in low 150.

I guess I am not used to time limit so I was a bit nervous, made many mistakes, and left at least 5 questions in each section blank. When I went back and finished the unanswered questions with no time limit the score goes above 160.

I am curious if it is realistic for me to reach 165 if I do 5-6 prep tests per week before June 10th?

Thanks a lot for anyone who shares his/her opinion.