Prime p₀= 2322968265310016081 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 4 2 10 2 10 2 4 2 (?)
a_n: 0 2 6 8 18 20 30 32 36 38
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: 38
Found by: Orange Kid
db: batch=81, k=10, 2 4 2 10 2

STPT(10)	2322967494958171667	0 2 60 62 72 74 84 86 144 146	-770351844414
STPT(10)	2322967696471384511	0 2 6 8 48 50 90 92 96 98	-568838631570
SPT(13)	2322967712614778543	0 18 30 48 156 186 198 210 240 348 366 378 396	-552695237538
SPT(16)	2322967760310697303	0 24 88 90 100 114 136 156 238 258 280 294 304 306 370 394	-504999318778
SPT(16)	2322968095284612329	0 2 30 42 60 108 152 158 204 210 254 302 320 332 360 362	-170025403752
SPT(16)	2322968216188635089	0 20 32 62 72 74 128 144 158 174 228 230 240 270 282 302	-49121380992
STPT(10)	2322968738356952891	0 2 6 8 18 20 30 32 36 38	473046936810
SPT(16)	2322968754507581801	0 12 36 78 96 102 122 168 260 306 326 332 350 392 416 428	489197565720
STPT(10)	2322968813245032647	0 2 30 32 60 62 90 92 120 122	547935016566
SPT(16)	2322968868333303979	0 10 24 34 52 144 150 154 210 214 220 312 330 340 354 364	603023287898
SPT(16)	2322968996424565087	0 34 126 184 196 214 240 244 252 256 282 300 312 370 462 496	731114549006