Prime p₀= 2080842566880894977 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: Ben
db: batch=80, k=10, 2 28 2 10 2

SPT(16)	2080841318774097881	0 2 50 150 176 200 206 228 260 282 288 312 338 438 486 488	-1248106797096
STPT(10)	2080841321369931059	0 2 18 20 30 32 42 44 60 62	-1245510963918
STPT(10)	2080841544196890047	0 2 42 44 72 74 102 104 144 146	-1022684004930
STPT(10)	2080841855926863509	0 2 18 20 30 32 42 44 60 62	-710954031468
TPT(14)	2080842377845557959	0 2 12 14 48 50 78 80 150 152 162 164 180 182	-189035337018
TPT(14)	2080842478919801711	0 2 30 32 36 38 78 80 90 92 156 158 168 170	-87961093266
SPT(16)	2080842848940126847	0 6 16 46 66 70 72 90 112 130 132 136 156 186 196 202	282059231870
SPT(16)	2080842857468352217	0 4 22 52 60 64 70 76 120 126 132 136 144 174 192 196	290587457240
SPT(16)	2080843140125695739	0 2 48 138 170 204 258 282 320 344 398 432 464 554 600 602	573244800762
SPT(16)	2080843616835869273	0 26 44 56 98 218 248 264 290 306 336 456 498 510 528 554	1049954974296
STPT(10)	2080843655592257597	0 2 30 32 42 44 54 56 84 86	1088711362620