Prime p₀= 2707806706765062779 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 28 2 28 2 28 2 (?)
a_n: 0 2 30 32 60 62 90 92 120 122
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: JayPi
db: batch=82, k=10, 2 28 2 28 2

SPT(16)	2707805913283231073	0 8 24 48 60 134 150 176 258 284 300 374 386 410 426 434	-793481831706
STPT(10)	2707805974724174321	0 2 6 8 48 50 90 92 96 98	-732040888458
STPT(10)	2707806225825567071	0 2 6 8 18 20 30 32 36 38	-480939495708
STPT(10)	2707806231538673141	0 2 30 32 60 62 90 92 120 122	-475226389638
SPT(16)	2707806434206917031	0 10 16 30 70 72 76 112 156 192 196 198 238 252 258 268	-272558145748
STPT(10)	2707806485316923447	0 2 30 32 72 74 114 116 144 146	-221448139332
SPT(16)	2707806955299215149	0 18 24 48 70 84 162 190 282 310 388 402 424 448 454 472	248534152370
STPT(10)	2707807095766793357	0 2 30 32 42 44 54 56 84 86	389001730578
SPT(13)	2707807101394410017	0 60 126 150 186 204 210 216 234 270 294 360 420	394629347238
STPT(10)	2707807171818175121	0 2 30 32 78 80 126 128 156 158	465053112342
STPT(10)	2707807370184495539	0 2 42 44 120 122 198 200 240 242	663419432760