Prime p₀= 2577390093715939727 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: Penguin
db: batch=82, k=10, 2 28 2 10 2

SPT(16)	2577388489548058723	0 10 40 66 96 108 124 150 154 180 196 208 238 264 294 304	-1604167881004
SPT(16)	2577388623128232503	0 18 30 50 78 98 128 140 144 156 186 206 234 254 266 284	-1470587707224
SPT(16)	2577388679921206423	0 6 18 28 34 76 84 88 96 100 108 150 156 166 178 184	-1413794733304
STPT(10)	2577389502173726027	0 2 60 62 72 74 84 86 144 146	-591542213700
STPT(10)	2577389849455567607	0 2 24 26 42 44 60 62 84 86	-244260372120
SPT(16)	2577389984687661053	0 44 128 140 158 164 170 210 224 264 270 276 294 306 390 434	-109028278674
SPT(16)	2577390352693633153	0 28 88 118 124 138 150 178 210 238 250 264 270 300 360 388	258977693426
STPT(10)	2577390741731646887	0 2 12 14 72 74 132 134 144 146	648015707160
STPT(10)	2577391225050293579	0 2 12 14 90 92 168 170 180 182	1131334353852
SPT(16)	2577391664629935499	0 30 42 58 84 108 132 154 198 220 244 268 294 310 322 352	1570913995772
STPT(10)	2577392264315745431	0 2 36 38 78 80 120 122 156 158	2170599805704