Can I drive over the 2 sets double solid yellow line with wide strips in NJ?

If I turn left from other side of the road. What this mark call? HOV lane? or traffic island? The police said that I entered the left turn lane( red traffic light for straight lane, green arrow for left turn lane in the intersection ) too early and drove over the 2 sets of double solid yellow line with wide strips. the ticket is marked "improper ping 39:4-85" with 4 points, $85, after he wrote ticket, why did he ask "where you came from?", I said from the supermarket.