Prime p₀= 2731027122948796277 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 58 2 58 2 10 2 (?)
a_n: 0 2 12 14 72 74 132 134 144 146
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: 146
Found by: UBT - Timbo
db: batch=82, k=10, 2 10 2 58 2

SPT(16)	2731025197066007047	0 12 42 100 112 126 156 192 280 316 346 360 372 430 460 472	-1925882789230
SPT(16)	2731025482681599931	0 22 58 78 90 112 126 132 136 142 156 178 190 210 246 268	-1640267196346
STPT(10)	2731026060566117099	0 2 30 32 60 62 90 92 120 122	-1062382679178
SPT(18)	2731026132183594857	0 2 6 72 120 126 146 164 174 212 222 240 260 266 314 380 384 386	-990765201420
SPT(16)	2731026731243596789	0 12 40 54 100 112 132 142 222 232 252 264 310 324 352 364	-391705199488
STPT(10)	2731027030596983939	0 2 18 20 30 32 42 44 60 62	-92351812338
SPT(16)	2731028106362214151	0 16 48 100 150 168 180 202 216 238 250 268 318 370 402 418	983413417874
SPT(16)	2731028159375194501	0 16 58 166 190 208 252 258 280 286 330 348 372 480 522 538	1036426398224
STPT(10)	2731028281713134657	0 2 90 92 102 104 114 116 204 206	1158764338380
SPT(16)	2731028561022939841	0 10 82 96 136 166 186 202 276 292 312 342 382 396 468 478	1438074143564
SPT(16)	2731029316439254711	0 30 46 48 88 90 100 118 150 168 178 180 220 222 238 268	2193490458434