Prime p₀= 2909467729693693307 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: Landjunge
db: batch=82, k=10, 2 40 2 28 2

SPT(16)	2909466956813708999	0 8 42 44 78 92 164 180 182 198 270 284 318 320 354 362	-772879984308
STPT(10)	2909467095400781471	0 2 6 8 48 50 90 92 96 98	-634292911836
SPT(16)	2909467133169047089	0 18 48 58 64 94 100 114 148 162 168 198 204 214 244 262	-596524646218
SPT(16)	2909467229875616749	0 22 54 118 132 148 162 202 210 250 264 280 294 358 390 412	-499818076558
SPT(16)	2909467385520417923	0 54 60 66 146 200 224 234 266 276 300 354 434 440 446 500	-344173275384
SPT(16)	2909467416215385559	0 34 48 52 112 114 150 154 198 202 238 240 300 304 318 352	-313478307748
SPT(16)	2909467939332522091	0 28 42 60 72 156 186 198 280 292 322 406 418 436 450 478	209638828784
SPT(16)	2909468256926230289	0 2 24 30 42 72 80 104 108 132 140 170 182 188 210 212	527232536982
STPT(10)	2909468396024224427	0 2 30 32 42 44 54 56 84 86	666330531120
STPT(10)	2909468625925160207	0 2 30 32 42 44 54 56 84 86	896231466900
STPT(10)	2909468806386056657	0 2 30 32 42 44 54 56 84 86	1076692363350