14 or 12 gauge is normal for steel electric fence wire. If your wire is breaking all the time it is possible that you are straining it too tight. You can't install it as if it were high-tensile...
Alternatively is it possible that animals are breaking it by going through it (rather than going thru it after it breaks, you know?) This time of year is especially bad for that, as electric doesn't have nearly so much zap when the ground is frozen and some critters will just walk thru it, or canter thru if it still has a bit of zap to it. (Have you used a GOOD, i.e. digital not cheap-five-neon-lights, fence tester to see what charge it's running right now?)
I actually use mostly 16 gauge aluminum wire -- I like the high conductivity and relatively low break strength -- and only get a broken wire about every other year, despite temperatures down to -25 F and lower. However this is just as a hot wire on four-board fence... certainly if the wire WAS the only fence, that breakage rate would not be acceptible to me and I'd use a different arrangement
Tape is not 'better' or 'worse' than wire, it is just different. Its main (practically only) virtue is its much better visibility... thus, horses do not tend to go thru it
accidentally nearly as much as with wire, nor therefore get hurt on it as much. I am not sure it has any real value for anything other than horses. The drawbacks of tape are that it is much higher resistance than wire i.e. you can't run as much fence off a given charger and still keep the charge up high enough; it needs closer spacing between posts; it flaps in the wind unless installed really right; it doesn't last as long (typically something on the order of 2-5 years; it is not the tape breaking that usually ends its useful life, it's when too many of the fine metal wires that run thru it get broken in various places so it no longer transmits sufficient charge); and it is more expensive.
What kind of critters are you fencing?
Pat