Prime p₀= 2309255864946205541 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 34 2 40 2 40 2 34 2 (?)
a_n: 0 2 36 38 78 80 120 122 156 158
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: 158
Found by: Joerg paleface Burkel
db: batch=81, k=10, 2 34 2 40 2

SPT(16)	2309254676167976723	0 84 90 96 146 156 176 194 246 264 284 294 344 350 356 440	-1188778228818
SPT(18)	2309254963526958047	0 6 30 42 60 146 200 212 230 336 354 366 420 506 524 536 560 566	-901419247494
STPT(10)	2309255161641325517	0 2 42 44 72 74 102 104 144 146	-703304880024
SPT(16)	2309255453530009553	0 8 30 90 108 126 206 218 246 258 338 356 374 434 456 464	-411416195988
TPT(14)	2309255610756538751	0 2 126 128 138 140 150 152 156 158 240 242 390 392	-254189666790
STPT(10)	2309255842959378527	0 2 30 32 42 44 54 56 84 86	-21986827014
SPT(16)	2309256050944981561	0 12 52 82 90 120 166 196 246 276 322 352 360 390 430 442	185998776020
SPT(16)	2309256146472978347	0 14 32 66 116 126 150 182 204 236 260 270 320 354 372 386	281526772806
SPT(16)	2309256349500049249	0 40 60 70 88 108 112 124 138 150 154 174 192 202 222 262	484553843708
SPT(16)	2309256376806358457	0 44 80 86 90 132 134 234 272 372 374 416 420 426 462 506	511860152916
SPT(16)	2309256673229510317	0 24 34 36 52 76 180 196 300 316 420 444 460 462 472 496	808283304776