Prime p₀= 777277729576099247 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-2W]Kurzer
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	777275976406952881	0 6 18 28 60 88 126 192 196 262 300 328 360 370 382 388	-1753169146366
SPT(16)	777276263883500683	0 70 84 126 150 184 186 196 264 274 276 310 334 376 390 460	-1465692598564
STPT(10)	777276421276494047	0 2 30 32 42 44 54 56 84 86	-1308299605200
SPT(16)	777276592141902907	0 54 60 70 90 96 126 172 204 250 280 286 306 316 322 376	-1137434196340
STPT(10)	777277134194599457	0 2 42 44 72 74 102 104 144 146	-595381499790
SPT(16)	777277417612747141	0 16 30 48 70 88 90 126 142 178 180 198 220 238 252 268	-311963352106
SPT(16)	777277826190938053	0 28 90 100 130 174 226 238 246 258 310 354 384 394 456 484	96614838806
STPT(10)	777278061271694399	0 2 18 20 30 32 42 44 60 62	331695595152
STPT(10)	777278127515114507	0 2 42 44 102 104 162 164 204 206	397939015260
SPT(16)	777278193387929113	0 4 18 30 48 60 70 90 124 144 154 166 184 196 210 214	463811829866
STPT(10)	777278393968108727	0 2 30 32 60 62 90 92 120 122	664392009480