Prime p₀= 2639316491115635699 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2639315132247049349	0 2 18 20 30 32 42 44 60 62	-1358868586350
SPT(16)	2639315610504804211	0 10 78 82 102 126 186 252 316 382 442 466 486 490 558 568	-880610831488
SPT(16)	2639315617492273487	0 14 20 32 62 110 162 204 242 284 336 384 414 426 432 446	-873623362212
SPT(16)	2639315665558815121	0 16 22 40 58 82 120 160 168 208 246 270 288 306 312 328	-825556820578
STPT(10)	2639315874792813647	0 2 30 32 72 74 114 116 144 146	-616322822052
SPT(16)	2639315979743662361	0 32 60 80 116 150 162 176 192 206 218 252 288 308 336 368	-511371973338
TPT(14)	2639316795799264067	0 2 132 134 180 182 210 212 264 266 390 392 450 452	304683628368
SPT(16)	2639317175192202917	0 2 12 14 42 80 104 164 300 360 384 422 450 452 462 464	684076567218
STPT(10)	2639317196758070999	0 2 18 20 60 62 102 104 120 122	705642435300
STPT(10)	2639317716272108657	0 2 30 32 60 62 90 92 120 122	1225156472958
TPT(14)	2639317914286496501	0 2 36 38 60 62 90 92 198 200 216 218 258 260	1423170860802