Prime p₀= 1275228842666118251 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: HenkM
db: batch=77, k=10, 2 4 2 10 2

TPT(14)	1275226925388648959	0 2 18 20 60 62 72 74 102 104 198 200 210 212	-1917277469292
TPT(14)	1275227257640076437	0 2 12 14 30 32 54 56 72 74 102 104 114 116	-1585026041814
SPT(16)	1275227493228346157	0 44 54 92 120 170 180 206 210 236 246 296 324 362 372 416	-1349437772094
SPT(16)	1275227775185812807	0 16 60 94 106 144 210 214 216 220 286 324 336 370 414 430	-1067480305444
STPT(10)	1275228032066987861	0 2 30 32 78 80 126 128 156 158	-810599130390
SPT(16)	1275228801395031803	0 26 48 66 80 168 216 260 276 320 368 456 470 488 510 536	-41271086448
SPT(16)	1275229220412402193	0 58 60 78 108 130 136 144 190 198 204 226 256 274 276 334	377746283942
SPT(16)	1275229269831803813	0 14 80 98 108 114 116 128 186 198 200 206 216 234 300 314	427165685562
TPT(14)	1275229475272464191	0 2 6 8 30 32 60 62 198 200 210 212 216 218	632606345940
SPT(16)	1275229597136413291	0 10 52 90 148 156 228 240 358 370 442 450 508 546 588 598	754470295040
SPT(16)	1275229741510214339	0 2 12 42 80 92 122 134 210 222 252 264 302 332 342 344	898844096088