Prime p₀= 800856682751737949 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 76 2 76 2 40 2 (?)
a_n: 0 2 42 44 120 122 198 200 240 242
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: 242
Found by: jozef j
db: batch=73, k=10, 2 40 2 76 2

STPT(10)	800855331072115127	0 2 12 14 42 44 72 74 84 86	-1351679622822
SPT(16)	800855960541702613	0 4 18 28 64 66 118 144 160 186 238 240 276 286 300 304	-722210035336
SPT(16)	800856073286620271	0 32 48 60 72 96 140 188 390 438 482 506 518 530 546 578	-609465117678
SPT(16)	800856227140346551	0 10 42 72 88 126 130 160 168 198 202 240 256 286 318 328	-455611391398
SPT(16)	800856360176213989	0 40 60 70 112 142 168 172 198 202 228 258 300 310 330 370	-322575523960
SPT(16)	800856416285652953	0 50 80 140 198 210 224 240 254 270 284 296 354 414 444 494	-266466084996
SPT(16)	800856719212128937	0 12 46 124 130 142 144 186 190 232 234 246 252 330 364 376	36460390988
SPT(16)	800857303722225523	0 4 16 54 96 114 144 210 244 310 340 358 400 438 450 454	620970487574
SPT(16)	800857328140597759	0 28 52 58 70 82 100 114 118 132 150 162 174 180 204 232	645388859810
SPT(16)	800857699843908323	0 8 30 78 114 210 240 248 330 338 368 464 500 548 570 578	1017092170374
STPT(10)	800857780628218559	0 2 42 44 120 122 198 200 240 242	1097876480610