Prime p₀= 1267406979071776997 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Megacruncher
db: batch=77, k=10, 2 22 2 16 2

STPT(10)	1267406083520491007	0 2 30 32 60 62 90 92 120 122	-895551285990
TPT(14)	1267406317665286637	0 2 12 14 24 26 54 56 60 62 150 152 210 212	-661406490360
SPT(16)	1267406692581028271	0 18 26 30 150 240 242 272 276 306 308 398 518 522 530 548	-286490748726
TPT(14)	1267406780462546567	0 2 72 74 84 86 132 134 180 182 270 272 312 314	-198609230430
SPT(16)	1267406957203035947	0 12 26 42 56 60 62 96 140 174 176 180 194 210 224 236	-21868741050
SPT(16)	1267406972186119339	0 22 28 70 72 102 120 138 172 190 208 238 240 282 288 310	-6885657658
STPT(10)	1267407469067446781	0 2 6 8 48 50 90 92 96 98	489995669784
SPT(16)	1267407735025979059	0 58 88 90 100 118 120 130 132 142 144 162 172 174 204 262	755954202062
SPT(16)	1267407812950836901	0 42 156 178 190 222 262 282 346 366 406 438 450 472 586 628	833879059904
STPT(10)	1267407842633572439	0 2 48 50 60 62 72 74 120 122	863561795442
TPT(14)	1267408023487772981	0 2 48 50 78 80 126 128 216 218 276 278 378 380	1044415995984