Hello,
From your symptoms it looks like spider veins or
varicose veins penis. The
varicose vein on the penis does not require any treatment. It may bruise
during sexual intercourse and thus wearing of a condom is highly recommended. Also use of lubricants is recommended during masturbation or during sexual intercourse to avoid bruising the vein. No other treatment is required. In fact most of the treatment like laser treatment will cause scarring,infection,nerve and vascular damage.