Prime p₀= 2678360245154124899 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)	2678358536653777057	0 36 64 66 90 126 196 222 274 300 370 406 430 432 460 496	-1708500347842
STPT(10)	2678358731906363027	0 2 30 32 42 44 54 56 84 86	-1513247761872
SPT(16)	2678359283196825791	0 2 68 78 128 180 182 192 266 276 278 330 380 390 456 458	-961957299108
SPT(16)	2678359384728212329	0 4 40 42 60 112 114 148 204 238 240 292 310 312 348 352	-860425912570
STPT(10)	2678359942496990417	0 2 30 32 42 44 54 56 84 86	-302657134482
SPT(16)	2678360070877778257	0 34 40 60 66 76 90 106 150 166 180 190 196 216 222 256	-174276346642
SPT(18)	2678360889231732533	0 6 20 36 44 50 96 126 170 300 344 374 420 426 434 450 464 470	644077607634
SPT(16)	2678361260069894239	0 22 52 112 130 220 222 240 262 280 282 372 390 450 480 502	1014915769340
TPT(14)	2678361684742053377	0 2 12 14 132 134 240 242 264 266 270 272 300 302	1439587928478
SPT(18)	2678361747983129353	0 36 70 124 160 190 250 256 274 276 294 300 360 390 426 480 514 550	1502829004454
SPT(16)	2678361831488723797	0 4 46 82 106 114 124 186 250 312 322 330 354 390 432 436	1586334598898