Prime p₀= 2291184852369668597 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Landjunge
db: batch=81, k=10, 2 22 2 16 2

SPT(16)	2291183897284226869	0 42 78 94 172 198 228 262 330 364 394 420 498 514 550 592	-955085441728
SPT(16)	2291183903370486521	0 8 42 50 78 122 132 168 182 218 228 272 300 308 342 350	-948999182076
STPT(10)	2291183951039288477	0 2 12 14 72 74 132 134 144 146	-901330380120
STPT(10)	2291184087509872967	0 2 24 26 42 44 60 62 84 86	-764859795630
STPT(10)	2291184262115403131	0 2 36 38 78 80 120 122 156 158	-590254265466
STPT(10)	2291184759603211091	0 2 6 8 48 50 90 92 96 98	-92766457506
TPT(14)	2291185133541834527	0 2 54 56 60 62 90 92 240 242 264 266 294 296	281172165930
SPT(16)	2291185526669477797	0 6 30 42 72 112 130 144 172 186 204 244 274 286 310 316	674299809200
SPT(16)	2291185689963062639	0 8 24 42 62 74 102 110 132 140 168 180 200 218 234 242	837593394042
SPT(18)	2291186090678905249	0 82 84 100 112 172 264 280 294 298 312 328 420 480 492 508 510 592	1238309236652
TPT(14)	2291186462770657409	0 2 12 14 102 104 168 170 192 194 312 314 462 464	1610400988812