Prime p₀= 1016491567183939547 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: stoneageman
db: batch=76, k=10, 2 28 2 10 2

SPT(16)	1016491073155106099	0 14 74 84 92 168 192 224 228 260 284 360 368 378 438 452	-494028833448
STPT(10)	1016491229307916259	0 2 42 44 60 62 78 80 120 122	-337876023288
SPT(16)	1016491247674384607	0 6 74 140 144 146 186 272 294 380 420 422 426 492 560 566	-319509554940
STPT(10)	1016491348109721899	0 2 48 50 60 62 72 74 120 122	-219074217648
STPT(10)	1016491384632493739	0 2 12 14 30 32 48 50 60 62	-182551445808
STPT(10)	1016491554579687929	0 2 78 80 120 122 162 164 240 242	-12604251618
STPT(10)	1016491807758863867	0 2 54 56 72 74 90 92 144 146	240574924320
SPT(16)	1016491976695248517	0 22 24 46 70 72 136 156 190 210 274 276 300 322 324 346	409511308970
STPT(10)	1016492250904771337	0 2 30 32 72 74 114 116 144 146	683720831790
SPT(16)	1016492527445834317	0 40 42 82 112 114 184 222 412 450 520 522 552 592 594 634	960261894770
STPT(10)	1016492876498409221	0 2 6 8 18 20 30 32 36 38	1309314469674