Prime p₀= 2347709854061786309 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: [SG-2W]Kurzer
db: batch=81, k=10, 2 16 2 10 2

SPT(16)	2347709145341670113	0 56 90 128 134 150 156 164 180 188 194 210 216 254 288 344	-708720116196
SPT(16)	2347709519979330757	0 46 132 154 160 162 172 204 262 294 304 306 312 334 420 466	-334082455552
SPT(16)	2347709664797762281	0 22 42 52 102 108 130 142 156 168 190 196 246 256 276 298	-189264024028
STPT(10)	2347709731922883827	0 2 30 32 72 74 114 116 144 146	-122138902482
TPT(14)	2347709754224699099	0 2 30 32 102 104 138 140 210 212 228 230 312 314	-99837087210
STPT(10)	2347709826683567579	0 2 48 50 60 62 72 74 120 122	-27378218730
STPT(10)	2347710696618305267	0 2 60 62 72 74 84 86 144 146	842556518958
TPT(14)	2347710846051259649	0 2 210 212 252 254 270 272 288 290 312 314 498 500	991989473340
STPT(10)	2347710935635944059	0 2 18 20 30 32 42 44 60 62	1081574157750
STPT(10)	2347710957062389727	0 2 30 32 42 44 54 56 84 86	1103000603418
SPT(16)	2347711171526502967	0 40 54 84 96 106 132 136 150 154 180 190 202 232 246 286	1317464716658