Prime p₀= 2127779847006910709 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 62
Found by: retroactivemind
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2127778740037221989	0 2 12 14 90 92 168 170 180 182	-1106969688720
SPT(16)	2127779089560143147	0 42 44 66 144 150 156 200 216 260 266 272 350 372 374 416	-757446767562
SPT(16)	2127779419418536781	0 6 30 32 56 72 78 86 132 140 146 162 186 188 212 218	-427588373928
STPT(10)	2127779430174031691	0 2 36 38 78 80 120 122 156 158	-416832879018
SPT(16)	2127779468946456487	0 10 12 42 84 94 154 162 184 192 252 262 304 334 336 346	-378060454222
SPT(16)	2127779704771020067	0 4 34 84 124 130 154 166 174 186 210 216 256 306 336 340	-142235890642
SPT(16)	2127780248951157551	0 66 108 176 186 192 200 258 260 318 326 332 342 410 452 518	401944246842
STPT(10)	2127780408358210391	0 2 36 38 78 80 120 122 156 158	561351299682
SPT(16)	2127780614669269493	0 14 38 50 98 126 168 170 174 176 218 246 294 306 330 344	767662358784
SPT(16)	2127780799131589387	0 4 10 30 60 120 132 142 162 172 184 244 274 294 300 304	952124678678
STPT(10)	2127780875078453237	0 2 30 32 42 44 54 56 84 86	1028071542528