Prime p₀= 2509410357068721287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 84 86
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: 86
Found by: Roadranner
db: batch=82, k=10, 2 22 2 16 2

SPT(16)	2509408510721696879	0 18 44 50 72 78 80 102 140 162 164 170 192 198 224 242	-1846347024408
SPT(16)	2509408634650706077	0 46 72 84 90 120 132 156 190 214 226 256 262 274 300 346	-1722418015210
SPT(16)	2509408678624206857	0 26 56 60 92 102 116 156 266 306 320 330 362 366 396 422	-1678444514430
STPT(10)	2509408956255617807	0 2 30 32 42 44 54 56 84 86	-1400813103480
STPT(10)	2509409077277943959	0 2 18 20 30 32 42 44 60 62	-1279790777328
SPT(13)	2509410241168248637	0 24 66 84 90 114 120 126 150 156 174 216 240	-115900472650
SPT(16)	2509410505005683471	0 2 56 66 78 86 90 108 110 128 132 140 152 162 216 218	147936962184
SPT(16)	2509410967064169439	0 18 24 34 84 90 144 148 150 154 208 214 264 274 280 298	609995448152
STPT(10)	2509412080212264917	0 2 30 32 42 44 54 56 84 86	1723143543630
STPT(10)	2509412268044730869	0 2 18 20 30 32 42 44 60 62	1910976009582
SPT(16)	2509412306702295893	0 86 96 104 114 170 210 216 218 224 264 320 330 338 348 434	1949633574606