Prime p₀= 1362974650741006487 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: 122
Found by: Theadalus
db: batch=77, k=10, 2 28 2 28 2

SPT(16)	1362973607457217471	0 6 22 36 46 52 70 126 136 192 210 216 226 240 256 262	-1043283789016
TPT(14)	1362973911846473621	0 2 48 50 78 80 90 92 120 122 126 128 168 170	-738894532866
SPT(16)	1362973958493144047	0 42 74 84 120 134 150 234 380 464 480 494 530 540 572 614	-692247862440
STPT(10)	1362974143204570901	0 2 156 158 198 200 240 242 396 398	-507536435586
STPT(12)	1362974175868919231	0 2 36 38 48 50 78 80 90 92 126 128	-474872087256
STPT(10)	1362974356907661539	0 2 18 20 30 32 42 44 60 62	-293833344948
STPT(10)	1362974859654029231	0 2 30 32 78 80 126 128 156 158	208913022744
STPT(10)	1362976213352450771	0 2 6 8 48 50 90 92 96 98	1562611444284
SPT(16)	1362976230242262089	0 44 80 84 152 158 182 192 200 210 234 240 308 312 348 392	1579501255602
TPT(14)	1362976269607359599	0 2 90 92 150 152 162 164 168 170 210 212 258 260	1618866353112
SPT(16)	1362976408924897321	0 16 48 60 130 132 190 192 196 198 256 258 328 340 372 388	1758183890834