Prime p₀= 1277671995214983617 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: Theadalus
db: batch=77, k=10, 2 28 2 10 2

STPT(10)	1277671158718793099	0 2 48 50 60 62 72 74 120 122	-836496190518
STPT(10)	1277671170507394211	0 2 6 8 48 50 90 92 96 98	-824707589406
SPT(16)	1277671460891782631	0 50 56 90 110 120 146 152 156 162 188 198 218 252 258 308	-534323200986
SPT(18)	1277671497541114957	0 10 22 24 30 36 52 54 66 100 112 114 130 136 142 144 156 166	-497673868660
SPT(16)	1277671646218372243	0 34 46 76 154 156 168 198 226 256 268 270 348 378 390 424	-348996611374
SPT(16)	1277671843688591797	0 10 52 90 112 136 186 252 364 430 480 504 526 564 606 616	-151526391820
STPT(10)	1277672306853246131	0 2 36 38 78 80 120 122 156 158	311638262514
SPT(16)	1277672356393904659	0 30 52 108 112 114 192 198 214 220 298 300 304 360 382 412	361178921042
SPT(16)	1277672577280541287	0 60 112 132 160 180 184 222 244 282 286 306 334 354 406 466	582065557670
SPT(20)	1277672867592441277	0 34 46 90 172 214 216 280 310 312 334 336 366 430 432 474 556 600 612 646	872377457660
SPT(16)	1277673032377177841	0 6 12 20 56 110 126 140 282 296 312 366 402 410 416 422	1037162194224