Prime p₀= 2712204136052564939 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: JonS
db: batch=82, k=10, 2 40 2 16 2

SPT(16)	2712202554746199971	0 8 78 110 126 128 158 236 312 390 420 422 438 470 540 548	-1581306364968
SPT(16)	2712202579040960777	0 6 66 74 114 144 176 204 296 324 356 386 426 434 494 500	-1557011604162
STPT(10)	2712202892589559007	0 2 60 62 72 74 84 86 144 146	-1243463005932
SPT(16)	2712202978148950777	0 24 40 54 66 72 150 162 184 196 274 280 292 306 322 346	-1157903614162
STPT(10)	2712203004574202141	0 2 30 32 60 62 90 92 120 122	-1131478362798
SPT(16)	2712204090665496653	0 36 56 78 114 140 144 146 228 230 234 260 296 318 338 374	-45387068286
STPT(10)	2712204164285966039	0 2 18 20 30 32 42 44 60 62	28233401100
SPT(16)	2712204405683845873	0 66 76 78 100 126 136 150 166 180 190 216 238 240 250 316	269631280934
SPT(16)	2712204457045218379	0 28 58 100 192 210 238 300 322 384 412 430 522 564 594 622	320992653440
TPT(14)	2712204791044185137	0 2 24 26 42 44 54 56 84 86 420 422 570 572	654991620198
SPT(16)	2712204872803543043	0 20 24 66 84 104 108 170 174 236 240 260 278 320 324 344	736750978104