Prime p₀= 2046808627388535077 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 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: [SG-2W]Kurzer
db: batch=80, k=10, 2 10 2 28 2

SPT(16)	2046807087847659653	0 38 110 120 150 176 194 236 258 300 318 344 374 384 456 494	-1539540875424
STPT(10)	2046807995448556127	0 2 12 14 72 74 132 134 144 146	-631939978950
STPT(10)	2046808002703854449	0 2 42 44 90 92 138 140 180 182	-624684680628
SPT(16)	2046808298545940729	0 24 44 48 74 90 98 104 144 150 158 174 200 204 224 248	-328842594348
STPT(10)	2046808329662626469	0 2 42 44 60 62 78 80 120 122	-297725908608
SPT(16)	2046808543902601051	0 30 46 52 88 112 166 198 280 312 366 390 426 432 448 478	-83485934026
SPT(16)	2046809921074980401	0 72 92 110 138 146 162 186 212 236 252 260 288 306 326 398	1293686445324
STPT(10)	2046810250790594447	0 2 54 56 72 74 90 92 144 146	1623402059370
STPT(10)	2046810429403993049	0 2 18 20 30 32 42 44 60 62	1802015457972
STPT(10)	2046810576047464361	0 2 78 80 138 140 198 200 276 278	1948658929284
STPT(10)	2046810956399667509	0 2 42 44 60 62 78 80 120 122	2329011132432