Prime p₀= 2871410561166437747 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 40 2 40 2 28 2 (?)
a_n: 0 2 30 32 72 74 114 116 144 146
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: Landjunge
db: batch=82, k=10, 2 28 2 40 2

SPT(16)	2871408100075761637	0 24 46 52 84 102 114 184 222 292 304 322 354 360 382 406	-2461090676110
TPT(14)	2871408132436686077	0 2 42 44 54 56 180 182 222 224 240 242 252 254	-2428729751670
SPT(13)	2871408175425534389	0 30 42 54 60 120 162 204 264 270 282 294 324	-2385740903358
STPT(10)	2871408667506467057	0 2 30 32 72 74 114 116 144 146	-1893659970690
SPT(16)	2871408938816085257	0 6 20 32 36 50 80 102 104 126 156 170 174 186 200 206	-1622350352490
STPT(10)	2871409365025120061	0 2 6 8 18 20 30 32 36 38	-1196141317686
STPT(10)	2871410694614975267	0 2 60 62 72 74 84 86 144 146	133448537520
SPT(16)	2871410938546853111	0 26 38 50 66 120 170 182 246 258 308 362 378 390 402 428	377380415364
SPT(16)	2871411386030559041	0 48 102 108 132 138 152 168 242 258 272 278 302 308 362 410	824864121294
SPT(16)	2871411387341250847	0 30 90 132 150 172 190 192 280 282 300 322 340 382 442 472	826174813100
SPT(16)	2871411505060793659	0 24 84 90 94 118 132 142 150 160 174 198 202 208 268 292	943894355912