Prime p₀= 2499979347942006179 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)	2499978358115023873	0 36 48 58 118 126 156 180 226 250 280 288 348 358 370 406	-989826982306
STPT(10)	2499978376950823589	0 2 18 20 30 32 42 44 60 62	-970991182590
STPT(10)	2499978739556608361	0 2 6 8 18 20 30 32 36 38	-608385397818
STPT(10)	2499978921322607897	0 2 12 14 42 44 72 74 84 86	-426619398282
TPT(14)	2499979098340621559	0 2 30 32 60 62 138 140 198 200 228 230 270 272	-249601384620
TPT(14)	2499979243541019101	0 2 36 38 96 98 120 122 198 200 276 278 288 290	-104400987078
SPT(16)	2499979581951491929	0 58 72 90 142 148 168 210 220 262 282 288 340 358 372 430	234009485750
STPT(10)	2499979605649310051	0 2 36 38 78 80 120 122 156 158	257707303872
SPT(16)	2499979918915844551	0 6 58 72 90 112 142 190 258 306 336 358 376 390 442 448	570973838372
STPT(10)	2499980077643204171	0 2 36 38 78 80 120 122 156 158	729701197992
STPT(10)	2499980474178503999	0 2 48 50 90 92 132 134 180 182	1126236497820