Prime p₀= 2437137045368193209 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: SEARCHER
db: batch=82, k=10, 2 16 2 10 2

STPT(10)	2437136068156274447	0 2 30 32 42 44 54 56 84 86	-977211918762
STPT(10)	2437136429573058461	0 2 6 8 108 110 210 212 216 218	-615795134748
SPT(16)	2437136636315324833	0 10 40 58 88 120 168 186 190 208 256 288 318 336 366 376	-409052868376
SPT(16)	2437136742664971923	0 6 36 56 60 90 104 108 116 120 134 164 168 188 218 224	-302703221286
STPT(12)	2437136846602917749	0 2 132 134 138 140 162 164 168 170 300 302	-198765275460
SPT(16)	2437137041208977981	0 30 32 56 98 156 158 168 230 240 242 300 342 366 368 398	-4159215228
SPT(18)	2437137207682681351	0 12 22 28 46 52 60 78 102 256 280 298 306 312 330 336 346 358	162314488142
SPT(16)	2437137451900280663	0 24 36 50 78 86 108 128 156 176 198 206 234 248 260 284	406532087454
STPT(10)	2437137772037183231	0 2 30 32 78 80 126 128 156 158	726668990022
SPT(20)	2437137804930141101	0 20 78 126 140 176 200 206 222 276 302 356 372 378 402 438 452 500 558 578	759561947892
SPT(16)	2437137820050404363	0 6 36 54 90 104 120 126 188 194 210 224 260 278 308 314	774682211154