Prime p₀= 2309956925462576417 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: FritzB
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2309955027563463827	0 2 30 32 42 44 54 56 84 86	-1897899112590
STPT(10)	2309955076336562531	0 2 30 32 60 62 90 92 120 122	-1849126013886
SPT(16)	2309955247383356821	0 10 28 42 78 138 160 162 208 210 232 292 328 342 360 370	-1678079219596
STPT(10)	2309955453528909881	0 2 30 32 60 62 90 92 120 122	-1471933666536
STPT(10)	2309955543868816841	0 2 6 8 48 50 90 92 96 98	-1381593759576
SPT(16)	2309955682384380139	0 40 48 54 84 90 120 130 162 172 202 208 238 244 252 292	-1243078196278
STPT(10)	2309956967847128021	0 2 36 38 78 80 120 122 156 158	42384551604
SPT(16)	2309957129802405793	0 6 66 76 78 84 108 124 150 166 190 196 198 208 268 274	204339829376
STPT(12)	2309957325954755537	0 2 12 14 54 56 90 92 132 134 144 146	400492179120
SPT(16)	2309958382941644881	0 10 42 90 108 120 196 232 306 342 418 430 448 496 528 538	1457479068464
SPT(16)	2309958541815720811	0 16 22 42 52 70 88 100 108 120 138 156 166 186 192 208	1616353144394