Prime p₀= 1585911845798034581 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 46 2 46 2 28 2 (?)
a_n: 0 2 30 32 78 80 126 128 156 158
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: 158
Found by: emoga
db: batch=78, k=10, 2 28 2 46 2

SPT(13)	1585910617257398681	0 42 60 90 126 132 216 300 306 342 372 390 432	-1228540635900
STPT(10)	1585910724235999517	0 2 42 44 72 74 102 104 144 146	-1121562035064
STPT(10)	1585911139351959221	0 2 6 8 48 50 90 92 96 98	-706446075360
STPT(10)	1585911188838771437	0 2 30 32 42 44 54 56 84 86	-656959263144
SPT(18)	1585911530211270541	0 76 82 102 168 178 186 220 222 256 258 292 300 310 376 396 402 478	-315586764040
SPT(16)	1585911539852044283	0 20 36 126 146 194 204 260 270 326 336 384 404 494 510 530	-305945990298
STPT(10)	1585912467467428907	0 2 30 32 102 104 174 176 204 206	621669394326
TPT(14)	1585912672567957169	0 2 18 20 72 74 78 80 132 134 210 212 300 302	826769922588
STPT(10)	1585912825113563291	0 2 36 38 78 80 120 122 156 158	979315528710
SPT(16)	1585913137624045039	0 10 18 40 78 82 88 148 192 252 258 262 300 322 330 340	1291826010458
SPT(16)	1585913760390542521	0 22 42 46 70 82 126 130 138 142 186 198 222 226 246 268	1914592507940