Prime p₀= 2991728005195232591 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Roadranner
db: batch=82, k=10, 2 34 2 40 2

STPT(10)	2991726942195072701	0 2 6 8 48 50 90 92 96 98	-1063000159890
SPT(16)	2991726986983032269	0 24 32 38 72 98 102 104 108 110 114 140 174 180 188 212	-1018212200322
SPT(16)	2991727202066077339	0 30 60 64 82 142 154 174 238 258 270 330 348 352 382 412	-803129155252
STPT(10)	2991727405841363219	0 2 18 20 30 32 42 44 60 62	-599353869372
SPT(16)	2991727634280497257	0 10 36 40 70 82 94 96 190 192 204 216 246 250 276 286	-370914735334
SPT(13)	2991727925609004697	0 114 120 162 174 180 252 324 330 342 384 390 504	-79586227894
SPT(16)	2991728102947564597	0 4 12 16 24 60 82 96 100 114 136 172 180 184 192 196	97752332006
STPT(10)	2991728114472591677	0 2 30 32 42 44 54 56 84 86	109277359086
SPT(20)	2991728152790144561	0 6 56 66 128 140 176 216 260 278 318 336 380 420 456 468 530 540 590 596	147594911970
SPT(16)	2991728217407519921	0 2 126 168 182 200 206 242 366 402 408 426 440 482 606 608	212212287330
SPT(16)	2991728232881044801	0 28 42 72 78 82 100 138 172 210 228 232 238 268 282 310	227685812210