I have played 10 turns as follows. I suggest that the next player plays until we get Writing (11 turns) and we can examine what are the trading opportunities with Rome.
SGOTM
turn 0 - 3000 BC: switched Carthage to product Merc. We are losing a couple gold to unit support and this can be disbanded later to rush the temple.
1 - 2950: worker and settler E and explore.
2 - 2900: carthage grows to 2, science back to 10%, worker road, settler SE, warriors explore
3 - 2850: Utica founded and start on Colossus (grow in 5), worker mine other carthage bg, warriors explore
4 - 2800: warriors explore, worker move to Utica BG. Find more Roman borders in the south and they have a river and cow for Rome.
5 - 2750: worker mine bg, warriors explore. There is a barbarian adjacent to Rome and another cow just outside temple radius of Rome.
IBT: barb leaves Rome toward our warrior.
6 - 2710: worker moves to roaded grass across river near Utica, warriors explore. I think I've found the edges of this continent. The warrior near Rome will head North to try and interfere with future settler pairs from Rome.
7 - 2670: Carthage !Numidian Mercenary#1! > settler in 6 (grow in 4). He will stay in carthage for MP for now and in case any barbs start roaming. warriors explore - definately a continent. worker to bg
8 - 2630: Utica grows and laborers adjusted. Check Science slider as we are at +10GPT and writing is still in 13 so set back to 10%. Rome still only have WC - will give it to us for 1GPT plus 110 G - I say no. warriors explore - Rome has a settler pair ahead of our warrior heading north. Our warrior is in Rome's territory so I didn't have to attack the barb fortified on a hill.
IBT - barb warrior attacks us - we win but are down to 1 HP. I won't bother resting yet. Rome asks us to leave and I say yes.
9 - 2590: warriors explore - there are only a few coast squares we can't see now and some interior territory of Rome
10 - 2550: warriors explore. I left one warrior with movement in the south for the next player to decide if we should explore some of Rome's innards. Worker starts Irrigating toward other cow (even though we won't need this for some time. Carthage: size 2 - grow in 1, settler in 3 - Merc will be needed for 3 turns as MP. Utica - size 2 - grow in 3, Colossus in 45 - Merc will be needed as MP here once Utica grows and Carthage builds settler. Sceince check - can't get it in less than 11. Rome still has WC and will now sell to us for 126 Gold (out of 149 in treasury)
Firaxis 79, Jason 105
Two attachments are North and South of the continent.
The save is here
Edit (my work PC makes terrible images for some reason): Here is where the Roman settler pair moved (red line) and suspected move (blue line). You can't tell in the image but there are sheep and/or wool in that area so I expect them to settle soon. The escort is one warrior.
(still a terrible picture, good thing I'm not a graphics artist or I'd get fired)