Prime p₀= 798833328661343747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: 146
Found by: [SG-2W]Kurzer
db: batch=73, k=10, 2 28 2 40 2

SPT(16)	798830855981423381	0 2 12 30 56 86 90 132 140 182 186 216 242 260 270 272	-2472679920366
SPT(16)	798831504621064247	0 56 60 62 144 240 246 270 296 320 326 422 504 506 510 566	-1824040279500
SPT(16)	798831539358866963	0 8 20 26 36 66 96 110 174 188 218 248 258 264 276 284	-1789302476784
STPT(10)	798832084687147097	0 2 30 32 72 74 114 116 144 146	-1243974196650
SPT(16)	798832617379866833	0 8 18 26 30 54 60 84 110 134 140 164 168 176 186 194	-711281476914
SPT(16)	798833124624886777	0 10 40 54 90 130 154 184 252 282 306 346 382 396 426 436	-204036456970
SPT(16)	798833355412821263	0 8 44 84 86 134 146 168 266 288 300 348 350 390 426 434	26751477516
SPT(16)	798833484901769761	0 16 22 36 70 82 120 192 250 322 360 372 406 420 426 442	156240426014
SPT(13)	798833773261395709	0 12 18 48 60 78 90 102 120 132 162 168 180	444600051962
STPT(10)	798833802462379499	0 2 12 14 30 32 48 50 60 62	473801035752
STPT(10)	798833931801874019	0 2 30 32 120 122 210 212 240 242	603140530272