Prime p₀= 1078313303896762691 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Theadalus
db: batch=76, k=10, 2 4 2 10 2

TPT(14)	1078312460282899649	0 2 12 14 78 80 90 92 132 134 150 152 162 164	-843613863042
SPT(16)	1078312821336718841	0 12 56 60 80 96 102 168 170 236 242 258 278 282 326 338	-482560043850
SPT(16)	1078312888475039387	0 2 20 56 66 80 122 126 206 210 252 266 276 312 330 332	-415421723304
STPT(10)	1078312968875133161	0 2 30 32 78 80 126 128 156 158	-335021629530
SPT(16)	1078313011776331321	0 6 12 18 42 82 118 138 160 180 216 256 280 286 292 298	-292120431370
SPT(16)	1078313211988238689	0 22 42 52 78 88 94 102 130 138 144 154 180 190 210 232	-91908524002
SPT(16)	1078313677013147717	0 2 24 60 132 174 176 186 230 240 242 284 356 392 414 416	373116385026
SPT(16)	1078313681917061399	0 32 54 90 110 122 144 150 182 188 210 222 242 278 300 332	378020298708
STPT(10)	1078313778449577779	0 2 48 50 90 92 132 134 180 182	474552815088
STPT(10)	1078313952565052051	0 2 36 38 78 80 120 122 156 158	648668289360
SPT(16)	1078313952718043009	0 8 12 42 90 128 134 150 152 168 174 212 260 290 294 302	648821280318