Prime p₀= 2637561513956438981 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: biodoc
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2637560335547786969	0 20 38 62 80 132 140 224 258 342 350 402 420 444 462 482	-1178408652012
STPT(10)	2637560569741933247	0 2 24 26 42 44 60 62 84 86	-944214505734
SPT(16)	2637560632031875313	0 8 36 38 44 54 66 86 108 128 140 150 156 158 186 194	-881924563668
SPT(16)	2637560907704575969	0 4 18 22 72 88 190 204 238 252 354 370 420 424 438 442	-606251863012
SPT(16)	2637561021203859227	0 24 32 60 72 140 144 180 296 332 336 404 416 444 452 476	-492752579754
STPT(12)	2637561100262990219	0 2 42 44 48 50 132 134 138 140 180 182	-413693448762
STPT(10)	2637562060827283061	0 2 36 38 108 110 180 182 216 218	546870844080
STPT(10)	2637563870626628651	0 2 36 38 78 80 120 122 156 158	2356670189670
SPT(16)	2637563898544712341	0 58 70 106 120 166 178 190 198 210 222 268 282 318 330 388	2384588273360
STPT(10)	2637563988076119227	0 2 30 32 72 74 114 116 144 146	2474119680246
SPT(16)	2637564180615693673	0 28 54 78 130 144 180 204 274 298 334 348 400 424 450 478	2666659254692