Prime p₀= 2777671393249100609 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: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2777670410663263741	0 40 66 82 96 192 196 220 222 246 250 346 360 376 402 442	-982585836868
STPT(10)	2777670836990924489	0 2 18 20 30 32 42 44 60 62	-556258176120
STPT(10)	2777671054253773859	0 2 18 20 30 32 42 44 60 62	-338995326750
SPT(16)	2777671248876421049	0 8 48 60 62 104 210 218 234 242 348 390 392 404 444 452	-144372679560
STPT(10)	2777671264873866971	0 2 30 32 78 80 126 128 156 158	-128375233638
SPT(16)	2777671381892417347	0 30 54 60 82 120 172 184 192 204 256 294 316 322 346 376	-11356683262
STPT(10)	2777671533632615957	0 2 30 32 42 44 54 56 84 86	140383515348
STPT(10)	2777672011517817257	0 2 30 32 42 44 54 56 84 86	618268716648
SPT(16)	2777672230618430011	0 10 18 28 70 96 102 130 138 166 172 198 240 250 258 268	837369329402
STPT(10)	2777673188527220957	0 2 30 32 42 44 54 56 84 86	1795278120348
SPT(16)	2777673233402713159	0 30 42 52 64 94 114 120 154 160 180 210 222 232 244 274	1840153612550