Prime p₀= 1199643124566570137 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: Theadalus
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1199641392063074789	0 2 48 50 90 92 132 134 180 182	-1732503495348
SPT(16)	1199641413469430287	0 12 16 42 52 66 130 156 166 192 256 270 280 306 310 322	-1711097139850
SPT(16)	1199641993565517643	0 4 18 70 78 84 120 136 198 214 250 256 264 316 330 334	-1131001052494
STPT(10)	1199642246836717529	0 2 18 20 30 32 42 44 60 62	-877729852608
STPT(12)	1199642374880241869	0 2 42 44 78 80 132 134 168 170 210 212	-749686328268
SPT(16)	1199642675402963021	0 6 18 38 86 126 128 150 248 270 272 312 360 380 392 398	-449163607116
SPT(18)	1199643195015783983	0 24 56 114 134 164 168 210 240 314 344 386 390 420 440 498 530 554	70449213846
SPT(16)	1199643310211473961	0 12 42 56 98 150 152 158 270 276 278 330 372 386 416 428	185644903824
SPT(16)	1199643411034611583	0 10 84 118 120 124 160 210 214 264 300 304 306 340 414 424	286468041446
SPT(16)	1199643433296766691	0 38 50 72 158 186 270 282 296 308 392 420 506 528 540 578	308730196554
SPT(16)	1199643804739661927	0 6 42 44 116 126 204 246 380 422 500 510 582 584 620 626	680173091790