Prime p₀= 1273466583341282357 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: HenkM
db: batch=77, k=10, 2 22 2 16 2

SPT(16)	1273465449648969139	0 52 78 120 138 162 208 210 232 234 280 304 322 364 390 442	-1133692313218
TPT(14)	1273465773964809767	0 2 42 44 60 62 180 182 210 212 222 224 270 272	-809376472590
SPT(16)	1273466129287867103	0 8 14 68 98 114 120 138 140 158 164 180 210 264 270 278	-454053415254
SPT(16)	1273466189806310869	0 18 52 54 132 204 232 270 322 360 388 460 538 540 574 592	-393534971488
SPT(16)	1273466245106191009	0 18 42 48 58 168 172 180 202 210 214 324 334 340 364 382	-338235091348
STPT(10)	1273466428144081181	0 2 6 8 48 50 90 92 96 98	-155197201176
STPT(10)	1273466817664954667	0 2 30 32 42 44 54 56 84 86	234323672310
STPT(10)	1273466946439352627	0 2 30 32 42 44 54 56 84 86	363098070270
STPT(10)	1273467005045215991	0 2 6 8 48 50 90 92 96 98	421703933634
STPT(10)	1273467027465452801	0 2 36 38 78 80 120 122 156 158	444124170444
SPT(16)	1273467160451064473	0 14 30 44 48 74 90 186 278 374 390 416 420 434 450 464	577109782116