Prime p₀= 2097449751615588989 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 46 2 40 2 40 2 46 2 (?)
a_n: 0 2 48 50 90 92 132 134 180 182
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: 182
Found by: vaughan
db: batch=80, k=10, 2 46 2 40 2

SPT(16)	2097448975036831541	0 56 66 80 108 126 156 188 210 242 272 290 318 332 342 398	-776578757448
SPT(16)	2097449082060572437	0 66 96 124 150 156 184 196 294 306 334 340 366 394 424 490	-669555016552
STPT(10)	2097449127444783821	0 2 36 38 78 80 120 122 156 158	-624170805168
STPT(10)	2097449189086146191	0 2 6 8 18 20 30 32 36 38	-562529442798
STPT(10)	2097449287908404399	0 2 12 14 30 32 48 50 60 62	-463707184590
STPT(10)	2097449603663167511	0 2 6 8 18 20 30 32 36 38	-147952421478
STPT(10)	2097450271602338069	0 2 18 20 30 32 42 44 60 62	519986749080
STPT(10)	2097451147406229281	0 2 6 8 18 20 30 32 36 38	1395790640292
SPT(16)	2097451177766256649	0 24 52 78 82 142 184 190 282 288 330 390 394 420 448 472	1426150667660
SPT(16)	2097451186176138293	0 18 74 114 128 144 146 168 326 348 350 366 380 420 476 494	1434560549304
SPT(16)	2097452087216702443	0 28 40 66 90 96 106 148 168 210 220 226 250 276 288 316	2335601113454