Prime p₀= 2731998472576981511 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 76 2 58 2 58 2 76 2 (?)
a_n: 0 2 78 80 138 140 198 200 276 278
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: 278
Found by: JayPi
db: batch=82, k=10, 2 76 2 58 2

STPT(10)	2731997149892008259	0 2 18 20 30 32 42 44 60 62	-1322684973252
TPT(14)	2731997622451904291	0 2 78 80 168 170 258 260 270 272 336 338 408 410	-850125077220
STPT(10)	2731997692161723521	0 2 6 8 48 50 90 92 96 98	-780415257990
SPT(16)	2731998165582189727	0 4 34 60 72 166 172 174 262 264 270 364 376 402 432 436	-306994791784
SPT(16)	2731998172552552339	0 28 30 52 72 100 102 108 112 118 120 148 168 190 192 220	-300024429172
SPT(16)	2731998242470097323	0 10 84 106 126 154 156 196 198 238 240 268 288 310 384 394	-230106884188
STPT(10)	2731998984714246347	0 2 60 62 102 104 144 146 204 206	512137264836
SPT(16)	2731999376944225457	0 20 86 90 144 156 186 216 290 320 350 362 416 420 486 506	904367243946
TPT(14)	2731999776320300567	0 2 30 32 54 56 72 74 102 104 174 176 180 182	1303743319056
SPT(16)	2732000045110905973	0 6 18 40 60 96 108 150 196 238 250 286 306 328 340 346	1572533924462
TPT(14)	2732000322164430677	0 2 84 86 204 206 252 254 384 386 390 392 414 416	1849587449166