Prime p₀= 2779828413497519141 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

STPT(12)	2779827449295529847	0 2 12 14 60 62 84 86 132 134 144 146	-964201989294
SPT(18)	2779827471522684029	0 2 12 18 38 72 80 84 102 110 128 132 140 174 194 200 210 212	-941974835112
SPT(16)	2779827512483605567	0 16 42 46 54 84 124 126 130 132 172 202 210 214 240 256	-901013913574
TPT(14)	2779827616977403061	0 2 66 68 156 158 168 170 186 188 198 200 210 212	-796520116080
SPT(16)	2779827648450479749	0 28 48 72 78 82 100 114 118 132 150 154 160 184 204 232	-765047039392
SPT(16)	2779827711869758201	0 36 40 58 60 66 72 82 126 136 142 148 150 168 172 208	-701627760940
SPT(16)	2779828434504774097	0 22 64 90 100 112 154 174 280 300 342 354 364 390 432 454	21007254956
STPT(10)	2779828692441397307	0 2 12 14 42 44 72 74 84 86	278943878166
STPT(10)	2779828850081880209	0 2 18 20 30 32 42 44 60 62	436584361068
STPT(10)	2779828979632793897	0 2 12 14 72 74 132 134 144 146	566135274756
SPT(16)	2779829371559841947	0 12 54 62 110 146 150 176 210 236 240 276 324 332 374 386	958062322806