Prime p₀= 2049860012375581499 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: fix
db: batch=80, k=10, 2 16 2 10 2

SPT(16)	2049859184683537729	0 34 52 108 112 118 150 154 168 172 204 210 214 270 288 322	-827692043770
SPT(16)	2049859364588471719	0 22 64 148 154 174 184 220 222 258 268 288 294 378 420 442	-647787109780
STPT(10)	2049859558930203869	0 2 30 32 60 62 90 92 120 122	-453445377630
STPT(10)	2049859702787306099	0 2 18 20 30 32 42 44 60 62	-309588275400
SPT(16)	2049859907319780109	0 24 64 102 114 154 162 184 240 262 270 310 322 360 400 424	-105055801390
STPT(10)	2049859995297224651	0 2 30 32 78 80 126 128 156 158	-17078356848
SPT(16)	2049860187026444857	0 4 96 106 120 130 154 166 234 246 270 280 294 304 396 400	174650863358
STPT(10)	2049860194183975487	0 2 30 32 42 44 54 56 84 86	181808393988
SPT(16)	2049860426943301649	0 48 68 152 182 188 200 224 228 252 264 270 300 384 404 452	414567720150
STPT(10)	2049860488353202697	0 2 30 32 42 44 54 56 84 86	475977621198
SPT(16)	2049860664037315529	0 2 24 32 54 78 140 158 204 222 284 308 330 338 360 362	651661734030