Prime p₀= 2002320959877116729 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: Chooka
db: batch=80, k=10, 2 46 2 40 2

STPT(10)	2002320316574862881	0 2 36 38 78 80 120 122 156 158	-643302253848
SPT(16)	2002320317565267893	0 56 114 144 156 168 194 204 260 270 296 308 320 350 408 464	-642311848836
SPT(16)	2002320565786332923	0 14 20 54 60 66 98 126 158 186 218 224 230 264 270 284	-394090783806
SPT(16)	2002320648475643347	0 4 34 40 54 76 106 120 130 144 174 196 210 216 246 250	-311401473382
STPT(10)	2002320766084040021	0 2 6 8 48 50 90 92 96 98	-193793076708
SPT(16)	2002320781937678621	0 6 38 108 138 182 210 228 320 338 366 410 440 510 542 548	-177939438108
SPT(16)	2002320979184002121	0 30 56 98 128 140 192 210 368 386 438 450 480 522 548 578	19306885392
SPT(16)	2002321099028630077	0 40 42 52 66 90 112 180 232 300 322 346 360 370 372 412	139151513348
SPT(16)	2002321229212995637	0 6 36 42 46 52 66 70 126 130 144 150 154 160 190 196	269335878908
STPT(10)	2002321438427170097	0 2 30 32 42 44 54 56 84 86	478550053368
STPT(10)	2002321528293641837	0 2 60 62 72 74 84 86 144 146	568416525108