Prime p₀= 2577389849455567607 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Penguin
db: batch=82, k=10, 2 22 2 16 2

STPT(10)	2577388307016659837	0 2 30 32 42 44 54 56 84 86	-1542438907770
STPT(10)	2577388475513037629	0 2 18 20 60 62 102 104 120 122	-1373942529978
SPT(16)	2577388489548058723	0 10 40 66 96 108 124 150 154 180 196 208 238 264 294 304	-1359907508884
SPT(16)	2577388623128232503	0 18 30 50 78 98 128 140 144 156 186 206 234 254 266 284	-1226327335104
SPT(16)	2577388679921206423	0 6 18 28 34 76 84 88 96 100 108 150 156 166 178 184	-1169534361184
STPT(10)	2577389502173726027	0 2 60 62 72 74 84 86 144 146	-347281841580
SPT(16)	2577389984687661053	0 44 128 140 158 164 170 210 224 264 270 276 294 306 390 434	135232093446
STPT(10)	2577390093715939727	0 2 30 32 42 44 54 56 84 86	244260372120
SPT(16)	2577390352693633153	0 28 88 118 124 138 150 178 210 238 250 264 270 300 360 388	503238065546
STPT(10)	2577390741731646887	0 2 12 14 72 74 132 134 144 146	892276079280
STPT(10)	2577391225050293579	0 2 12 14 90 92 168 170 180 182	1375594725972