That's what I get from 24x 12V panels, 12x 24V panels, 8x 36V panels.
Except, each PV string is between 5A and 8A, not 13A. Most are run up to 150' in 12 awg, but two strings parallel into 8 awg (plan for 3 in parallel, about 21A)
So run 13A in 10 awg for 16% drop.
Hmm, my math comes up different. I tried meters not feed in your calculator, still didn't match your numbers.
10 awg, 1 ohm per 1000', 350' each way is 0.7 ohms round trip. At 13A, 9.1V drop or 2.4%
AWG Chart of Approximate equivalent Cross-Sections of Wire, American Wire Gauge by Resistance per 1000 feet
www.interfacebus.com
1000' of 10 awg is $1450 ??
Southwire's THHN and THWN-2 is a multi-purpose building wire used in conduit and cable trays for service, feeders and branch circuits in commercial and industrial applications. It is also used as a conductor
www.homedepot.com
Here's something much more reasonable.
1000' of 12 awg for $183
12 awg, 1.6 ohms/1000 feet, 13A gives 14.6V drop or 3.8% of 380V
13A x 1.56 = 20.28 ampacity required (If rounded down to 20A, 12 awg is rated for that. OK for just under 13A design)