Prime p₀= 2111799634911933059 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Euphoriabuzz
db: batch=80, k=10, 2 16 2 10 2

STPT(10)	2111798394046218929	0 2 42 44 60 62 78 80 120 122	-1240865714130
SPT(16)	2111798438961131339	0 18 42 44 60 68 90 104 108 122 144 152 168 170 194 212	-1195950801720
STPT(10)	2111798584558564841	0 2 36 38 78 80 120 122 156 158	-1050353368218
STPT(10)	2111798735157852077	0 2 30 32 42 44 54 56 84 86	-899754080982
SPT(16)	2111798740140895009	0 12 100 162 168 172 190 204 298 312 330 334 340 402 490 502	-894771038050
SPT(16)	2111799101979011597	0 42 60 92 122 164 242 260 276 294 372 414 444 476 494 536	-532932921462
SPT(16)	2111800012016693627	0 30 56 62 102 126 146 156 170 180 200 224 264 270 296 326	377104760568
SPT(16)	2111800087377259303	0 58 70 76 84 154 216 238 246 268 330 400 408 414 426 484	452465326244
STPT(10)	2111800132993070417	0 2 60 62 72 74 84 86 144 146	498081137358
STPT(10)	2111800220964413657	0 2 12 14 42 44 72 74 84 86	586052480598
SPT(16)	2111800503185675791	0 30 40 42 58 90 100 108 310 318 328 360 376 378 388 418	868273742732