Prime p₀= 2176249815962539787 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 84 86
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: 86
Found by: Penguin
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2176247301737488579	0 40 70 78 84 94 132 144 238 250 288 298 304 312 342 382	-2514225051208
STPT(10)	2176247376383708987	0 2 60 62 72 74 84 86 144 146	-2439578830800
SPT(16)	2176247752762539059	0 44 48 162 174 198 240 242 270 272 314 338 350 464 468 512	-2063200000728
SPT(16)	2176247774703763853	0 60 66 68 86 98 180 186 290 296 378 390 408 410 416 476	-2041258775934
SPT(16)	2176249029118584307	0 10 90 112 130 142 160 172 180 192 210 222 240 262 342 352	-786843955480
SPT(16)	2176249416050195371	0 36 42 46 72 78 106 118 210 222 250 256 282 286 292 328	-399912344416
TPT(14)	2176250458246411397	0 2 90 92 270 272 294 296 312 314 510 512 594 596	642283871610
TPT(14)	2176250561778937979	0 2 18 20 30 32 108 110 210 212 240 242 252 254	745816398192
STPT(10)	2176250592018052127	0 2 30 32 42 44 54 56 84 86	776055512340
SPT(16)	2176250903164390007	0 2 26 54 72 86 96 132 224 260 270 284 302 330 354 356	1087201850220
STPT(10)	2176251021142397609	0 2 12 14 90 92 168 170 180 182	1205179857822