Prime p₀= 1298022969138394529 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: Cruncher Pete
db: batch=77, k=10, 2 16 2 10 2

TPT(14)	1298022015189593717	0 2 60 62 72 74 84 86 114 116 204 206 240 242	-953948800812
SPT(16)	1298022399318656881	0 16 22 36 46 60 78 90 268 280 298 312 322 336 342 358	-569819737648
STPT(10)	1298022422880025991	0 2 36 38 78 80 120 122 156 158	-546258368538
STPT(10)	1298022569337334661	0 2 6 8 18 20 30 32 36 38	-399801059868
STPT(10)	1298022831190912031	0 2 6 8 18 20 30 32 36 38	-137947482498
SPT(16)	1298022838945460011	0 82 112 118 160 192 196 202 216 222 226 258 300 306 336 418	-130192934518
SPT(16)	1298023218649886761	0 6 22 42 76 96 112 120 172 180 196 216 250 270 286 292	249511492232
STPT(10)	1298023332605058947	0 2 24 26 42 44 60 62 84 86	363466664418
STPT(10)	1298023350593617127	0 2 30 32 42 44 54 56 84 86	381455222598
STPT(10)	1298023369514378861	0 2 6 8 48 50 90 92 96 98	400375984332
STPT(10)	1298023441746390221	0 2 36 38 78 80 120 122 156 158	472607995692