Prime p₀= 2313368816738877809 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: WTBroughton
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2313366771701309717	0 30 60 92 96 152 200 206 240 246 294 350 354 386 416 446	-2045037568092
SPT(16)	2313367628956621411	0 10 18 48 66 132 136 160 228 252 256 322 340 370 378 388	-1187782256398
STPT(10)	2313368077958396351	0 2 6 8 48 50 90 92 96 98	-738780481458
STPT(10)	2313368195704061339	0 2 18 20 30 32 42 44 60 62	-621034816470
SPT(16)	2313368327089708991	0 12 20 42 60 62 86 102 266 282 306 308 326 348 356 368	-489649168818
STPT(10)	2313368663241556727	0 2 30 32 120 122 210 212 240 242	-153497321082
TPT(14)	2313369336371436359	0 2 78 80 90 92 162 164 198 200 228 230 282 284	519632558550
SPT(16)	2313369667797320351	0 8 20 86 90 102 186 212 246 272 356 368 372 438 450 458	851058442542
SPT(16)	2313369773246286857	0 14 56 90 116 144 156 182 204 230 242 270 296 330 372 386	956507409048
SPT(16)	2313369838047564313	0 58 96 114 136 174 184 240 244 300 310 348 370 388 426 484	1021308686504
STPT(10)	2313369903131279801	0 2 6 8 48 50 90 92 96 98	1086392401992