Prime p₀= 2199240314449296917 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: Ben
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2199238742315921989	0 4 12 18 70 114 124 190 222 288 298 342 394 400 408 412	-1572133374928
SPT(16)	2199238909925742161	0 92 98 102 198 200 222 308 432 518 540 542 638 642 648 740	-1404523554756
STPT(12)	2199239755432300067	0 2 12 14 54 56 60 62 102 104 114 116	-559016996850
STPT(10)	2199239795290036439	0 2 48 50 90 92 132 134 180 182	-519159260478
SPT(16)	2199239895263964829	0 24 28 52 58 70 108 138 154 184 222 234 240 264 268 292	-419185332088
SPT(16)	2199240194073626261	0 8 12 38 62 78 186 206 372 392 500 516 540 566 570 578	-120375670656
STPT(10)	2199240510283618517	0 2 42 44 72 74 102 104 144 146	195834321600
TPT(14)	2199240929047612367	0 2 12 14 30 32 150 152 210 212 222 224 234 236	614598315450
SPT(16)	2199241179143599681	0 6 30 48 52 70 76 96 112 132 138 156 160 178 202 208	864694302764
SPT(16)	2199241210750625213	0 8 14 90 104 134 144 146 198 200 210 240 254 330 336 344	896301328296
STPT(10)	2199241303341502331	0 2 6 8 18 20 30 32 36 38	988892205414