Prime p₀= 1172786120966097689 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: xii5ku
db: batch=77, k=10, 2 40 2 16 2

SPT(16)	1172784568232041883	0 18 96 126 174 180 284 354 440 510 614 620 668 698 776 794	-1552734055806
STPT(10)	1172784632259707561	0 2 6 8 48 50 90 92 96 98	-1488706390128
SPT(16)	1172785397049006311	0 6 42 48 116 120 162 180 218 236 278 282 350 356 392 398	-723917091378
STPT(10)	1172785440196365179	0 2 30 32 60 62 90 92 120 122	-680769732510
SPT(16)	1172785480983749119	0 58 84 90 100 120 172 190 222 240 292 312 322 328 354 412	-639982348570
STPT(10)	1172785875924177017	0 2 24 26 42 44 60 62 84 86	-245041920672
STPT(10)	1172786240412807071	0 2 6 8 18 20 30 32 36 38	119446709382
SPT(16)	1172786243772458173	0 28 40 70 88 136 304 306 328 330 498 546 564 594 606 634	122806360484
SPT(16)	1172786988868963151	0 8 32 38 60 78 92 116 192 216 230 248 270 276 300 308	867902865462
STPT(10)	1172787586300432931	0 2 6 8 48 50 90 92 96 98	1465334335242
STPT(10)	1172788291617171347	0 2 30 32 42 44 54 56 84 86	2170651073658