Prime p₀= 2377636629792695039 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: Landjunge
db: batch=81, k=10, 2 16 2 10 2

STPT(10)	2377634552464972907	0 2 30 32 42 44 54 56 84 86	-2077327722132
SPT(16)	2377635233895366299	0 44 54 72 78 108 110 158 204 252 254 284 290 308 318 362	-1395897328740
STPT(10)	2377635421806121571	0 2 6 8 48 50 90 92 96 98	-1207986573468
TPT(14)	2377635934261277381	0 2 18 20 66 68 96 98 108 110 150 152 168 170	-695531417658
STPT(10)	2377636545561467159	0 2 12 14 30 32 48 50 60 62	-84231227880
SPT(16)	2377636557644883323	0 20 26 38 98 120 138 150 206 218 236 258 318 330 336 356	-72147811716
SPT(16)	2377636869983768413	0 4 28 54 60 88 124 130 258 264 300 328 334 360 384 388	240191073374
TPT(16)	2377636952850018191	0 2 36 38 66 68 96 98 126 128 138 140 330 332 336 338	323057323152
TPT(14)	2377637469978728831	0 2 30 32 168 170 210 212 240 242 276 278 306 308	840186033792
SPT(16)	2377637654671156211	0 32 42 66 116 122 192 206 222 236 306 312 362 386 396 428	1024878461172
SPT(16)	2377637783838981997	0 4 16 22 40 46 82 90 196 204 240 246 264 270 282 286	1154046286958