Prime p₀= 2364100590786901667 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: Landjunge
db: batch=81, k=10, 2 28 2 10 2

SPT(16)	2364098986208505361	0 12 22 30 40 82 100 106 162 168 186 228 238 246 256 268	-1604578396306
STPT(12)	2364099183385211087	0 2 12 14 30 32 72 74 90 92 102 104	-1407401690580
SPT(16)	2364099513342730139	0 30 48 78 104 114 188 240 578 630 704 714 740 770 788 818	-1077444171528
STPT(10)	2364099964678946231	0 2 6 8 108 110 210 212 216 218	-626107955436
SPT(16)	2364100311059961967	0 36 52 64 76 82 100 150 166 216 234 240 252 264 280 316	-279726939700
SPT(16)	2364100567969059001	0 88 96 102 118 130 166 208 210 252 288 300 316 322 330 418	-22817842666
STPT(10)	2364100764566670551	0 2 36 38 78 80 120 122 156 158	173779768884
SPT(16)	2364100986860539561	0 6 12 40 46 82 90 148 150 208 216 252 258 286 292 298	396073637894
SPT(16)	2364101275919136157	0 40 42 76 84 94 130 136 210 216 252 262 270 304 306 346	685132234490
STPT(10)	2364101294502608387	0 2 24 26 42 44 60 62 84 86	703715706720
SPT(16)	2364101296605653441	0 26 50 68 72 102 158 162 176 180 236 266 270 288 312 338	705818751774