Prime p₀= 2013706958923475087 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 22 2 16 2 16 2 22 2 (?)
a_n: 0 2 24 26 42 44 60 62 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: Chooka
db: batch=80, k=10, 2 22 2 16 2

SPT(16)	2013705000402055043	0 48 54 74 96 144 206 276 308 378 440 488 510 530 536 584	-1958521420044
STPT(10)	2013705228520389161	0 2 6 8 18 20 30 32 36 38	-1730403085926
STPT(10)	2013705845017411547	0 2 30 32 60 62 90 92 120 122	-1113906063540
TPT(14)	2013706369735293809	0 2 42 44 78 80 90 92 132 134 162 164 168 170	-589188181278
TPT(14)	2013706773246395879	0 2 12 14 42 44 78 80 120 122 222 224 252 254	-185677079208
TPT(14)	2013706885823079647	0 2 12 14 30 32 54 56 72 74 132 134 144 146	-73100395440
SPT(16)	2013707830277536889	0 20 38 74 108 122 194 242 300 348 420 434 468 504 522 542	871354061802
STPT(10)	2013708000499031867	0 2 30 32 60 62 90 92 120 122	1041575556780
STPT(10)	2013708146015092517	0 2 12 14 42 44 72 74 84 86	1187091617430
TPT(14)	2013708360770309249	0 2 48 50 132 134 168 170 210 212 252 254 258 260	1401846834162
SPT(16)	2013708369252916499	0 18 30 50 72 74 92 98 144 150 168 170 192 212 224 242	1410329441412