Prime p₀= 2569478336080706759 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Penguin
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2569476266980937159	0 2 18 20 30 32 42 44 60 62	-2069099769600
STPT(10)	2569476343604286131	0 2 36 38 78 80 120 122 156 158	-1992476420628
SPT(16)	2569476795719222941	0 16 18 48 76 96 100 112 156 168 172 192 220 250 252 268	-1540361483818
SPT(16)	2569477076856304651	0 18 22 70 78 82 112 186 232 306 336 340 348 396 400 418	-1259224402108
SPT(16)	2569478201010759811	0 6 22 40 58 90 100 112 126 138 148 180 198 216 232 238	-135069946948
SPT(16)	2569478207047272397	0 22 70 84 120 126 184 196 330 342 400 406 442 456 504 526	-129033434362
TPT(14)	2569478474117277971	0 2 48 50 96 98 150 152 210 212 288 290 336 338	138036571212
STPT(10)	2569479321186569327	0 2 30 32 42 44 54 56 84 86	985105862568
TPT(14)	2569479488256272357	0 2 192 194 234 236 264 266 294 296 330 332 372 374	1152175565598
SPT(16)	2569479511747840927	0 30 76 96 120 124 126 130 156 160 162 166 190 210 256 286	1175667134168
SPT(18)	2569479526511566189	0 28 30 34 42 48 52 70 78 154 162 180 184 190 198 202 204 232	1190430859430