Prime p₀= 1585943428485135689 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: emoga
db: batch=78, k=10, 2 46 2 40 2

STPT(10)	1585940875298715137	0 2 42 44 72 74 102 104 144 146	-2553186420552
STPT(12)	1585941534446031731	0 2 36 38 48 50 78 80 90 92 126 128	-1894039103958
STPT(10)	1585941674816310179	0 2 18 20 30 32 42 44 60 62	-1753668825510
STPT(10)	1585941866635159601	0 2 36 38 138 140 240 242 276 278	-1561849976088
STPT(10)	1585942114210665821	0 2 36 38 78 80 120 122 156 158	-1314274469868
SPT(16)	1585942290831242959	0 10 24 40 54 88 108 112 150 154 174 208 222 238 252 262	-1137653892730
SPT(16)	1585943498322473761	0 52 58 60 108 126 130 136 162 168 172 190 238 240 246 298	69837338072
STPT(10)	1585943499476940377	0 2 12 14 72 74 132 134 144 146	70991804688
TPT(14)	1585943534617282067	0 2 12 14 84 86 120 122 204 206 300 302 360 362	106132146378
SPT(16)	1585943568410410751	0 50 78 92 222 258 282 302 336 356 380 416 546 560 588 638	139925275062
SPT(16)	1585943707649689139	0 20 114 140 168 174 182 240 272 330 338 344 372 398 492 512	279164553450