Prime p₀= 2349050491753086239 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: Orange Kid
db: batch=81, k=10, 2 16 2 10 2

STPT(12)	2349048835717680977	0 2 12 14 24 26 60 62 72 74 84 86	-1656035405262
SPT(16)	2349049124638789739	0 14 60 138 152 162 180 188 264 272 290 300 314 392 438 452	-1367114296500
SPT(16)	2349049308349119347	0 6 20 32 44 56 104 122 234 252 300 312 324 336 350 356	-1183403966892
SPT(16)	2349049310681859427	0 4 6 90 126 130 186 222 244 280 336 340 376 460 462 466	-1181071226812
SPT(16)	2349049522600420697	0 2 72 74 92 114 170 180 224 234 290 312 330 332 402 404	-969152665542
SPT(16)	2349049781329868893	0 34 48 64 94 126 136 154 240 258 268 300 330 346 360 394	-710423217346
SPT(16)	2349050513403740989	0 10 24 64 78 82 94 108 124 138 150 154 168 208 222 232	21650654750
STPT(10)	2349050555762821541	0 2 36 38 78 80 120 122 156 158	64009735302
TPT(14)	2349051160510976861	0 2 18 20 36 38 90 92 168 170 186 188 198 200	668757890622
STPT(10)	2349051462168646187	0 2 30 32 42 44 54 56 84 86	970415559948
SPT(16)	2349051555244905821	0 8 38 60 92 140 162 170 198 206 228 276 308 330 360 368	1063491819582