Prime p₀= 2736619782290895269 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: Roadranner
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2736618450124495309	0 10 22 58 72 112 114 130 132 148 150 190 204 240 252 262	-1332166399960
STPT(10)	2736618620664914267	0 2 60 62 102 104 144 146 204 206	-1161625981002
SPT(16)	2736618945239794501	0 12 40 78 82 90 132 150 190 208 250 258 262 300 328 340	-837051100768
SPT(16)	2736619090612132279	0 10 24 52 72 94 112 138 184 210 228 250 270 298 312 322	-691678762990
SPT(16)	2736619226613858821	0 6 68 96 120 126 138 146 162 170 182 188 212 240 302 308	-555677036448
STPT(10)	2736619499055092471	0 2 6 8 18 20 30 32 36 38	-283235802798
TPT(14)	2736620201789670947	0 2 114 116 282 284 342 344 372 374 414 416 420 422	419498775678
STPT(10)	2736620338427410997	0 2 42 44 72 74 102 104 144 146	556136515728
TPT(14)	2736620713889574641	0 2 120 122 138 140 180 182 258 260 306 308 336 338	931598679372
STPT(10)	2736621010430220671	0 2 6 8 18 20 30 32 36 38	1228139325402
SPT(16)	2736621076142522011	0 16 46 66 72 112 126 130 198 202 216 256 262 282 312 328	1293851626742