Prime p₀= 2310617885555823209 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: FritzB
db: batch=81, k=10, 2 40 2 16 2

SPT(16)	2310616207714183169	0 38 72 80 98 108 114 164 198 248 254 264 282 290 324 362	-1677841640040
STPT(10)	2310616302409190957	0 2 30 32 42 44 54 56 84 86	-1583146632252
STPT(10)	2310616382234858081	0 2 138 140 168 170 198 200 336 338	-1503320965128
TPT(14)	2310616616352859691	0 2 6 8 48 50 126 128 186 188 240 242 246 248	-1269202963518
STPT(10)	2310617337044538419	0 2 18 20 30 32 42 44 60 62	-548511284790
SPT(20)	2310617620620330761	0 6 32 56 80 90 132 188 210 242 336 368 390 446 488 498 522 546 572 578	-264935492448
SPT(16)	2310618017590525219	0 22 40 52 84 100 108 114 148 154 162 178 210 222 240 262	132034702010
STPT(10)	2310619111897719317	0 2 30 32 60 62 90 92 120 122	1226341896108
TPT(14)	2310619164628512341	0 2 30 32 36 38 48 50 156 158 198 200 240 242	1279072689132
STPT(10)	2310619355802298361	0 2 6 8 18 20 30 32 36 38	1470246475152
SPT(16)	2310619441412011291	0 16 28 42 66 70 72 78 100 106 108 112 136 150 162 178	1555856188082