Prime p₀= 2345081269012554377 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2345080055687088817	0 16 40 42 60 114 142 172 234 264 292 346 364 366 390 406	-1213325465560
SPT(16)	2345080186339025617	0 124 136 150 174 184 202 294 352 444 462 472 496 510 522 646	-1082673528760
SPT(16)	2345080314994731319	0 12 18 40 82 84 108 118 144 154 178 180 222 244 250 262	-954017823058
STPT(10)	2345080553819717237	0 2 30 32 42 44 54 56 84 86	-715192837140
SPT(16)	2345080709211835691	0 6 20 26 48 62 120 140 348 368 426 440 462 468 482 488	-559800718686
SPT(16)	2345080845236488127	0 6 62 84 110 126 140 146 150 156 170 186 212 234 290 296	-423776066250
SPT(16)	2345081345039630381	0 6 18 60 62 66 86 108 140 162 182 186 188 230 242 248	76027076004
STPT(10)	2345081601419583137	0 2 42 44 72 74 102 104 144 146	332407028760
STPT(10)	2345081883009917081	0 2 30 32 60 62 90 92 120 122	613997362704
SPT(16)	2345081981893689673	0 10 60 96 150 160 178 186 238 246 264 274 328 364 414 424	712881135296
STPT(10)	2345082013440080009	0 2 18 20 30 32 42 44 60 62	744427525632