Prime p₀= 2069646641508708929 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 16 2 10 2 10 2 16 2 (?)
a_n: 0 2 18 20 30 32 42 44 60 62
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: 62
Found by: Cruncher Pete
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2069644080985189717	0 4 16 24 30 40 54 60 136 142 156 166 172 180 192 196	-2560523519212
SPT(18)	2069644300120963289	0 20 48 72 78 114 140 164 188 234 258 282 308 344 350 374 402 422	-2341387745640
STPT(10)	2069644785374302847	0 2 60 62 72 74 84 86 144 146	-1856134406082
STPT(10)	2069645094215063567	0 2 42 44 72 74 102 104 144 146	-1547293645362
STPT(10)	2069645458942879757	0 2 30 32 60 62 90 92 120 122	-1182565829172
SPT(16)	2069645636494022753	0 14 24 36 38 56 104 168 266 330 378 396 398 410 420 434	-1005014686176
SPT(16)	2069646854040635599	0 10 48 64 70 88 132 142 330 340 384 402 408 424 462 472	212531926670
STPT(10)	2069646863594066987	0 2 24 26 42 44 60 62 84 86	222085358058
STPT(10)	2069647093969606469	0 2 42 44 90 92 138 140 180 182	452460897540
TPT(14)	2069647456869573419	0 2 18 20 42 44 60 62 168 170 180 182 222 224	815360864490
SPT(13)	2069647552236312353	0 18 30 114 120 144 204 264 288 294 378 390 408	910727603424