Prime p₀= 2310162113856129287 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 28 2 10 2 10 2 28 2 (?)
a_n: 0 2 30 32 42 44 54 56 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: FritzB
db: batch=81, k=10, 2 28 2 10 2

STPT(10)	2310158973094267637	0 2 24 26 42 44 60 62 84 86	-3140761861650
SPT(16)	2310159120380384849	0 30 42 102 104 122 140 144 170 174 192 210 212 272 284 314	-2993475744438
SPT(16)	2310159464675637899	0 30 32 42 74 80 104 114 158 168 192 198 230 240 242 272	-2649180491388
SPT(16)	2310159645359301479	0 14 18 42 72 128 132 134 168 170 174 230 260 284 288 302	-2468496827808
TPT(14)	2310160736674130369	0 2 12 14 42 44 72 74 78 80 150 152 210 212	-1377181998918
SPT(16)	2310161865993726847	0 40 64 70 112 124 180 190 204 214 270 282 324 330 354 394	-247862402440
STPT(10)	2310162823888809287	0 2 30 32 72 74 114 116 144 146	710032680000
TPT(14)	2310163088687714969	0 2 18 20 42 44 78 80 90 92 102 104 372 374	974831585682
SPT(16)	2310163224825504677	0 44 56 72 126 180 182 210 326 354 356 410 464 480 492 536	1110969375390
SPT(16)	2310163274712999149	0 12 38 68 122 132 140 152 360 372 380 390 444 474 500 512	1160856869862
TPT(14)	2310163365721187099	0 2 30 32 90 92 102 104 132 134 138 140 168 170	1251865057812