Prime p₀= 2157122679935664797 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 40 2 28 2 28 2 40 2 (?)
a_n: 0 2 42 44 72 74 102 104 144 146
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: 146
Found by: Penguin
db: batch=81, k=10, 2 40 2 28 2

SPT(16)	2157121662024396209	0 18 24 38 42 44 80 114 218 252 288 290 294 308 314 332	-1017911268588
STPT(10)	2157121799448272099	0 2 42 44 60 62 78 80 120 122	-880487392698
TPT(14)	2157122252247158309	0 2 78 80 252 254 282 284 318 320 348 350 372 374	-427688506488
SPT(16)	2157122301662624689	0 12 52 54 78 82 94 112 120 138 150 154 178 180 220 232	-378273040108
STPT(10)	2157122343233061287	0 2 30 32 72 74 114 116 144 146	-336702603510
SPT(16)	2157122602225027739	0 12 54 84 134 162 170 200 222 252 260 288 338 368 410 422	-77710637058
STPT(10)	2157122763751615349	0 2 18 20 30 32 42 44 60 62	83815950552
SPT(16)	2157122779361234021	0 12 68 72 126 150 156 218 240 302 308 332 386 390 446 458	99425569224
STPT(12)	2157122807257190987	0 2 12 14 42 44 60 62 90 92 102 104	127321526190
STPT(10)	2157123009800475107	0 2 30 32 42 44 54 56 84 86	329864810310
STPT(10)	2157123085206496007	0 2 12 14 42 44 72 74 84 86	405270831210