Prime p₀= 2721229721119650569 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 76 2 76 2 10 2 (?)
a_n: 0 2 12 14 90 92 168 170 180 182
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: 182
Found by: Thundergrid
db: batch=82, k=10, 2 10 2 76 2

SPT(16)	2721228421121568331	0 58 78 88 162 172 178 180 238 240 246 256 330 340 360 418	-1299998082238
SPT(16)	2721229475252979947	0 54 84 86 90 152 210 230 246 266 324 386 390 392 422 476	-245866670622
SPT(16)	2721229517462746133	0 6 50 54 98 110 218 236 288 306 414 426 470 474 518 524	-203656904436
STPT(10)	2721229518325281791	0 2 36 38 78 80 120 122 156 158	-202794368778
STPT(10)	2721229620088193087	0 2 30 32 42 44 54 56 84 86	-101031457482
TPT(14)	2721229690502869571	0 2 60 62 156 158 180 182 210 212 216 218 258 260	-30616780998
SPT(16)	2721229805090673119	0 24 42 78 80 138 152 204 278 330 344 402 404 440 458 482	83971022550
SPT(16)	2721229822416525821	0 18 32 42 66 78 92 146 162 216 230 242 266 276 290 308	101296875252
STPT(10)	2721229930620842447	0 2 42 44 72 74 102 104 144 146	209501191878
SPT(16)	2721230022684039953	0 30 36 60 78 80 104 168 206 270 294 296 314 338 344 374	301564389384
SPT(18)	2721230392561504091	0 2 30 86 132 182 192 228 240 368 380 416 426 476 522 578 606 608	671441853522