Prime p₀= 2799180106217675231 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: JayPi
db: batch=82, k=10, 2 4 2 10 2

SPT(16)	2799178648485105779	0 54 92 110 170 252 278 294 338 354 380 462 522 540 578 632	-1457732569452
TPT(14)	2799179212257004961	0 2 66 68 138 140 198 200 270 272 348 350 366 368	-893960670270
SPT(16)	2799179313555396061	0 30 52 72 78 142 156 166 222 232 246 310 316 336 358 388	-792662279170
STPT(10)	2799179353270293671	0 2 108 110 138 140 168 170 276 278	-752947381560
STPT(10)	2799179656495654259	0 2 42 44 60 62 78 80 120 122	-449722020972
SPT(16)	2799179791990212797	0 12 50 80 90 102 122 140 144 162 182 194 204 234 272 284	-314227462434
STPT(10)	2799180499079842847	0 2 54 56 72 74 90 92 144 146	392862167616
STPT(10)	2799181359826625957	0 2 30 32 42 44 54 56 84 86	1253608950726
SPT(16)	2799181602325954921	0 36 78 108 126 150 186 202 246 262 298 322 340 370 412 448	1496108279690
SPT(16)	2799182024124893761	0 18 46 102 160 162 186 258 280 352 376 378 436 492 520 538	1917907218530
SPT(16)	2799182063474069179	0 4 18 30 64 78 90 100 132 142 154 168 202 214 228 232	1957256393948