Prime p₀= 2991727405841363219 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: Roadranner
db: batch=82, k=10, 2 16 2 10 2

TPT(14)	2991726315873626159	0 2 12 14 48 50 90 92 108 110 168 170 210 212	-1089967737060
STPT(10)	2991726489484194401	0 2 30 32 60 62 90 92 120 122	-916357168818
SPT(16)	2991726754246319281	0 70 82 100 142 148 162 202 246 286 300 306 348 366 378 448	-651595043938
STPT(10)	2991726942195072701	0 2 6 8 48 50 90 92 96 98	-463646290518
SPT(16)	2991726986983032269	0 24 32 38 72 98 102 104 108 110 114 140 174 180 188 212	-418858330950
SPT(16)	2991727202066077339	0 30 60 64 82 142 154 174 238 258 270 330 348 352 382 412	-203775285880
SPT(16)	2991727634280497257	0 10 36 40 70 82 94 96 190 192 204 216 246 250 276 286	228439134038
SPT(13)	2991727925609004697	0 114 120 162 174 180 252 324 330 342 384 390 504	519767641478
STPT(10)	2991728005195232591	0 2 36 38 78 80 120 122 156 158	599353869372
SPT(16)	2991728102947564597	0 4 12 16 24 60 82 96 100 114 136 172 180 184 192 196	697106201378
STPT(10)	2991728114472591677	0 2 30 32 42 44 54 56 84 86	708631228458