Prime p₀= 2668631748618083429 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: JayPi
db: batch=82, k=10, 2 16 2 10 2

SPT(16)	2668630375671159049	0 10 64 78 82 90 94 112 120 138 142 150 154 168 222 232	-1372946924380
STPT(10)	2668630608658179461	0 2 6 8 18 20 30 32 36 38	-1139959903968
STPT(10)	2668630642699258331	0 2 6 8 48 50 90 92 96 98	-1105918825098
SPT(16)	2668631407983464377	0 10 12 34 46 60 84 112 114 142 166 180 192 214 216 226	-340634619052
STPT(10)	2668631622529144157	0 2 30 32 72 74 114 116 144 146	-126088939272
STPT(10)	2668631714487180107	0 2 30 32 42 44 54 56 84 86	-34130903322
STPT(10)	2668631800707401099	0 2 18 20 30 32 42 44 60 62	52089317670
TPT(14)	2668631815229377847	0 2 12 14 90 92 150 152 180 182 210 212 252 254	66611294418
TPT(14)	2668631934399455159	0 2 42 44 48 50 78 80 168 170 288 290 300 302	185781371730
SPT(16)	2668632133346506141	0 22 36 52 118 126 156 220 258 322 352 360 426 442 456 478	384728422712
SPT(16)	2668632325657226449	0 34 42 48 52 54 78 108 124 154 178 180 184 190 198 232	577039143020