Prime p₀= 2356732078442709431 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: ChUcK
db: batch=81, k=10, 2 34 2 40 2

STPT(10)	2356729695446069231	0 2 120 122 138 140 156 158 276 278	-2382996640200
STPT(10)	2356729784673138527	0 2 42 44 72 74 102 104 144 146	-2293769570904
SPT(16)	2356729978609997581	0 10 16 76 90 106 120 126 142 148 162 178 192 252 258 268	-2099832711850
STPT(10)	2356729984556795987	0 2 12 14 42 44 72 74 84 86	-2093885913444
SPT(16)	2356731779407805857	0 16 100 106 126 156 166 172 264 270 280 310 330 336 420 436	-299034903574
SPT(16)	2356731967143572597	0 20 24 42 62 126 150 174 302 326 350 414 434 452 456 476	-111299136834
SPT(16)	2356732102655894527	0 16 46 64 72 82 84 90 196 202 204 214 222 240 270 286	24213185096
SPT(16)	2356732340931318871	0 28 36 52 58 118 136 178 180 222 240 300 306 322 330 358	262488609440
TPT(14)	2356732388222387339	0 2 108 110 180 182 192 194 402 404 462 464 498 500	309779677908
SPT(16)	2356732398395848079	0 12 18 32 50 78 98 120 140 162 182 210 228 242 248 260	319953138648
STPT(10)	2356732678260571379	0 2 18 20 30 32 42 44 60 62	599817861948