Prime p₀= 2975271708347290949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 16 2 16 2 40 2 (?)
a_n: 0 2 42 44 60 62 78 80 120 122
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: 122
Found by: Roadranner
db: batch=82, k=10, 2 40 2 16 2

STPT(10)	2975269157871369101	0 2 30 32 120 122 210 212 240 242	-2550475921848
STPT(10)	2975269552583412521	0 2 66 68 108 110 150 152 216 218	-2155763878428
SPT(16)	2975269883882272513	0 4 18 66 88 94 130 144 160 174 210 216 238 286 300 304	-1824465018436
SPT(16)	2975270015135037661	0 52 100 136 142 186 202 276 286 360 376 420 426 462 510 562	-1693212253288
SPT(18)	2975270892099619819	0 4 40 54 60 94 114 138 144 208 214 238 258 292 298 312 348 352	-816247671130
STPT(10)	2975271051450780869	0 2 48 50 90 92 132 134 180 182	-656896510080
SPT(16)	2975271989606954813	0 6 26 66 74 90 98 116 138 156 164 180 188 228 248 254	281259663864
SPT(16)	2975272029684405053	0 14 18 26 38 44 80 98 126 144 180 186 198 206 210 224	321337114104
STPT(10)	2975272110750127157	0 2 54 56 72 74 90 92 144 146	402402836208
SPT(16)	2975272439401933313	0 38 44 80 144 168 194 200 234 240 266 290 354 390 396 434	731054642364
TPT(14)	2975272876639336109	0 2 282 284 300 302 390 392 432 434 462 464 468 470	1168292045160