Prime p₀= 740898210923598977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: Theadalus
db: batch=73, k=10, 2 10 2 28 2

SPT(16)	740896200792380623	0 6 40 46 58 118 168 226 228 286 336 396 408 414 448 454	-2010131218354
SPT(16)	740896290869753731	0 16 30 42 52 72 96 102 166 172 196 216 226 238 252 268	-1920053845246
STPT(10)	740896569064163891	0 2 36 38 78 80 120 122 156 158	-1641859435086
SPT(16)	740896619160356909	0 92 134 162 164 200 248 272 330 354 402 438 440 468 510 602	-1591763242068
STPT(10)	740897104558487081	0 2 6 8 18 20 30 32 36 38	-1106365111896
STPT(10)	740897216557898339	0 2 42 44 60 62 78 80 120 122	-994365700638
STPT(12)	740898223675136117	0 2 42 44 84 86 120 122 162 164 204 206	12751537140
STPT(10)	740898435993530999	0 2 42 44 120 122 198 200 240 242	225069932022
SPT(16)	740899201391961737	0 6 20 24 26 86 90 126 170 206 210 270 272 276 290 296	990468362760
SPT(16)	740899262327883977	0 50 54 92 120 132 206 222 374 390 464 476 504 542 546 596	1051404285000
SPT(16)	740899528851648553	0 6 10 34 60 88 100 148 156 204 216 244 270 294 298 304	1317928049576