Prime p₀= 1122900939957850577 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Theadalus
db: batch=76, k=10, 2 28 2 10 2

STPT(10)	1122899956800095231	0 2 6 8 18 20 30 32 36 38	-983157755346
TPT(14)	1122900092989756451	0 2 30 32 60 62 108 110 168 170 198 200 318 320	-846968094126
SPT(16)	1122900127188172943	0 54 110 168 206 210 236 246 308 318 344 348 386 444 500 554	-812769677634
TPT(14)	1122900646526946641	0 2 6 8 90 92 156 158 198 200 390 392 396 398	-293430903936
SPT(16)	1122900679694435233	0 54 60 78 130 138 144 148 186 190 196 204 256 274 280 334	-260263415344
TPT(14)	1122900939957850481	0 2 30 32 96 98 126 128 138 140 150 152 180 182	-96
SPT(16)	1122901064732705761	0 6 28 40 100 156 202 216 292 306 352 408 468 480 502 508	124774855184
SPT(16)	1122901199622759979	0 34 58 88 94 118 130 168 220 258 270 294 300 330 354 388	259664909402
STPT(10)	1122902224719510407	0 2 12 14 42 44 72 74 84 86	1284761659830
SPT(16)	1122902276357584981	0 40 42 46 58 60 82 108 130 156 178 180 192 196 198 238	1336399734404
SPT(16)	1122902291512481993	0 36 60 80 90 104 164 170 204 210 270 284 294 314 338 374	1351554631416