Prime p₀= 1296870174876579617 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: mikey
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1296868977367039577	0 2 54 56 72 74 90 92 144 146	-1197509540040
STPT(10)	1296869366917435637	0 2 42 44 72 74 102 104 144 146	-807959143980
SPT(16)	1296869514929523611	0 30 38 42 116 170 192 198 200 206 228 282 356 360 368 398	-659947056006
SPT(16)	1296869813996637997	0 34 46 54 84 100 112 114 172 174 186 202 232 240 252 286	-360879941620
SPT(16)	1296869887835228701	0 30 42 78 82 88 120 130 180 190 222 228 232 268 280 310	-287041350916
STPT(10)	1296869989721573789	0 2 18 20 30 32 42 44 60 62	-185155005828
SPT(20)	1296870279118096643	0 8 24 38 74 80 120 200 258 288 380 410 468 548 588 594 630 644 660 668	104241517026
SPT(16)	1296870811608229801	0 52 60 82 136 150 186 216 262 292 328 342 396 418 426 478	636731650184
SPT(16)	1296870915700377109	0 4 10 58 60 72 82 144 178 240 250 262 264 312 318 322	740823797492
STPT(10)	1296871018482733427	0 2 24 26 42 44 60 62 84 86	843606153810
TPT(14)	1296871094725965959	0 2 102 104 168 170 180 182 198 200 468 470 510 512	919849386342