Prime p₀= 2111986576895564399 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: Landjunge
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2111985754290491701	0 30 48 66 88 100 108 130 138 160 168 180 202 220 238 268	-822605072698
STPT(10)	2111985838015295909	0 2 18 20 30 32 42 44 60 62	-738880268490
STPT(10)	2111986023280261097	0 2 30 32 72 74 114 116 144 146	-553615303302
SPT(16)	2111986093469878663	0 10 48 64 100 120 126 148 246 268 274 294 330 346 384 394	-483425685736
SPT(16)	2111986472048909551	0 6 28 30 42 58 120 162 286 328 390 406 418 420 442 448	-104846654848
SPT(16)	2111986493761070441	0 42 48 50 56 60 72 78 110 116 128 132 138 140 146 188	-83134493958
STPT(10)	2111986638287527787	0 2 30 32 60 62 90 92 120 122	61391963388
STPT(10)	2111986654229388449	0 2 42 44 60 62 78 80 120 122	77333824050
STPT(10)	2111987023123845779	0 2 18 20 30 32 42 44 60 62	446228281380
SPT(16)	2111987030902450591	0 22 42 70 88 120 130 198 322 390 400 432 450 478 498 520	454006886192
STPT(10)	2111987512980586037	0 2 30 32 42 44 54 56 84 86	936085021638